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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.