Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation...

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Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Transcript of Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation...

Page 1: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Functions, Equations, and GraphsCh. 2.4More about linear equations

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 2: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Bell Work• Make a sketch of the line given the equation. Y = -2x – 3

• What is the slope of the line that passes through these two points, (3,2) (4,0)?

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope

and a point on the graph.

Page 3: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Grades/Pass back papers…• DO NOT bombard me with questions. • Ask yourself, did you submit your classwork (TB pg. 22 and 30)? • Did you submit your quiz/retake?(those are the only two things in the gradebook at the moment)

Remember, being absent is not an excuse to have not turned something in, it is up to YOU to come see me during Power hour (the next day) so we can get you caught up. If you are concerned, or want to work something out, come see me during power hour!

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on

the graph.

Page 4: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

More about Linear Equations

READWe know to compare lines in with the different slopes: a

line of slope 2 is steeper than one with slope ½. In this lesson, we will compare the slopes of parallel and perpendicular lines. Important properties of these lines include: • Parallel lines are equidistant.• Parallel lines have the same slope but different y-intercepts.• The shortest distance between a point and a line is the

perpendicular distance..• The Slopes of perpendicular lines are negative reciprocals of

each other.

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 5: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Point-Slope Form

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 6: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an Equation Given a Point and the Slope

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 7: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an Equation Given a Point and the SlopeNow you try…

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 8: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an equation given two points

A line passes through (3,2) and (5,8). What is an equation of the line in point-slope form?

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the

graph.

Slope formula, use this when given two points, then plug the slope and one of the points in to point-slope formula.

Page 9: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an equation given two points

Now you try…A line passes through (-5,0) and (0,7). What is an equation of the line in point-slope form?

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 10: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Standard Form of a Linear Equation

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the

graph.

Page 11: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an Equation in Standard Form

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on

the graph.

Page 12: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing an Equation in Standard Form

Now you try…What is an equation of the line y = 9.1x + 3.6 in standard form?

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the

graph.

Page 13: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

To summarize…

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point

on the graph.

Page 14: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Graphing an Equation Using Intercepts

What are the intercepts of 3x + 5y = 15? Graph the equation.

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on

the graph.

Page 15: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Graphing an Equation Using Intercepts

Now you try…What are the intercepts of 2x – 4y = 8? Graph the equation.

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the graph.

Page 16: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Parallel and Perpendicular Lines

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a

point on the graph.

Page 17: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing Equations of Parallel and Perpendicular Lines

What is the equation of each line in slope-intercept form? (Use point-slope form first…) a. The line parallel to y=6x-2 through (1, -3)b. The line perpendicular to y= -4x + 2/3 through (8,5).

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope

and a point on the graph.

Page 18: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Writing Equations of Parallel and Perpendicular Lines

Now you try…What is the equation of each line in slope-intercept form? The line parallel to 4x + 2y = 7 through (4, -2)

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line given its slope and a point on the

graph.

Page 19: Functions, Equations, and Graphs Ch. 2.4 More about linear equations EQ: How can I write an equation of a line given its slope and a point on a line. I.

Closure

(On your bell sheet)

Given the two points, (4, -5) (2, 3)Describe how you will write the equation of this line (using point-

slope form, what we learned about today)

EQ: How can I write an equation of a line given its slope and a point on a line. I will write the equation of a line

given its slope and a point on the graph.