ObjectiveThe student will be able to:

graph a line given any linear equation.

SOL: A.6

Designed by Skip Tyler, Varina High School

X-axis X-

coordinate X-intercept Y-axis Y-

coordinate Y-intercept

Vocabulary – get a green book and copy down the definitions from the

glossary

Slope Slope-intercept form Ordered pair Function Function table Linear equation Linear function

KEEP BOOK FOR LATER!

1)using a function-table 2)using slope-intercept form3)using x- and y-intercepts

There are 3 different methods for graphing equations.

The goal is to determine which method is the easiest to use for each problem!

If the equation is in STANDARD FORM (Ax + By = C), graph using the intercepts.

If the equation is in SLOPE-INTERCEPT FORM

(y = mx + b), graph using slope and intercept or a function-table (whichever is easier for you).

If the equation is in neither form, rewrite the equation in the form you like the best!

Here’s your cheat sheet!

X Y

-2 0

-1 2

0 4

1 6

2 8

Using a Function TableGraph: y = 2x + 4

Which graphing method is easiest?Using slope and y-intercept (or a function-

table)!

----These notes will graph using m and b

m = , b = 2

Graph y 1

3x 2

1

3

Start here

-31-3

Review: Graphing with slope-intercept

1. Start by graphing the y-intercept (b = 2).

2. From the y-intercept, apply “rise over run” using your slope.rise = 1, run = -3

3. Repeat this again from your new point.

4. Draw a line through your points.

1

3m

1

y 1

3x 2

1

Which graphing method is easiest?Using x- and y-intercepts!

(The equation is in standard form)

Remember, plug in 0 to find the intercepts.

Graph -2x + 3y = 12

1. Find your x-intercept: Let y = 0-2x + 3(0) = 12x = -6; (-6, 0)

2. Find your y-intercept:Let x = 0-2(0) + 3y = 12y = 4; (0, 4)

3. Graph both points and draw a line through them.

Review: Graphing with intercepts:

Graph: -2x + 3y = 12

1. Function-table2. Slope and

intercept3. X- and Y-

intercepts4. Graphing

calculator

Which method is easiest to graph

-3x + 6y = 2?

1..2..3..4..

Which is the graph of y = x + 2?

Pg. 359 # 1-6 (all)

Pg. 365 # 1-3 AND 7Put in basket when finishedCopy down homework

Get out one sheet of paper, fold and label it on the

outside!

Pg. 365 # 1-3 AND 7

Have a grading utensil ready

PEOPLE SEARCH

Directions: •Find a different person to answer each of the following questions. •Each person should sign the question they answer.

Find Someone Who Can…

 Find the slope of a line that passes through (-7, 3) and ( 8, 5).  ______________________

 Find the slope of the line, y = 2/3 x + 4.   _______________________

 Find the slope of x = -3.  

_______________________ 

 Find the slope of a line that passes through the points(-3, 1) and (2, -3).

______________________

People Search

 Write 5x + 2y = 10 in slope-intercept form. _______________________  

 Find the slope of 3x+ y = 5. ________________________

 Find the slope of y = 4.  

________________________   

 Tell you if the slope of the line that passes through (-4,3) and (5,3) is positive, negative, zero or undefined.___________________

People Search

Find the equation of the line that has slope of 3 and y-intercept of –4.  ____________________ 

Find the x- and y-intercept for the line represented by 5x – 2y = 10.  ____________________

 Write the equation of the line that passes through(0, -3) has a slope of 2/5.

 ____________________

 Find the equation of the line that passes through the point (1,2) and has a slope of 2. ______________________

People Search

Find the slope and y-intercept of the line represented by y = -x + 5. ______________________ 

 Write the equation of the line that passes through (-6,2) and (-6, -3). 

____________________

 Write the equation of the line that passes through the points (-1,6) and (2,9). 

___________________  

 Find the y-intercept of y = 3x + 4 - 2. 

______________________

People Search