Name:_____________________________
Date:___________
Period:__________
Ms. Esfandiari and Mrs. Shafi
Steps:
1. Get the linear equation into _________________________________
2. Determine the slope and y-intercept.
3. Plot the _______________
4. Start at the y-intercept and use the ___________to plot at least 2 more points
5. Connect all the points with a straight edge and use arrows.
6. Label the line with the ________________
EXAMPLE ONE:
1) Graph the equation: y = -4x + 3
Is the equation in slope-intercept form: Y/N?
Slope:_________
Y-Intercept:_______
1
2) Graph 2y = -4x + 12
Is the equation in slope-intercept form: Y/N?
Slope-intercept form:______________
Slope:_________
Y-Intercept:_______
YOU TRY
1) Graph the equation
y  2x  5
Is the equation in slope-intercept form: Y/N?
Slope:_________
Y-Intercept:_______
2
2) Graph the equation:
4x  y  3  0
Is the equation in slope-intercept form: Y/N?
Slope-intercept form:______________
Slope:_________
Y-Intercept:_______
3.) Graph the equation: 7 x  2 y  11
Is the equation in slope-intercept form: Y/N?
Slope-intercept form:_______________
Slope:_________
Y-Intercept:_______
3
EXAMPLE TWO: Graphing lines with Parallel and Perpendicular Slopes!
 Parallel lines have the
slope.

Perpendicular lines have
slopes.

The steps for graphing are the same as above, just change the slope if
necessary.
4.)
Graph the line parallel to y=2x-6
that has a slope-intercept of -4

Slope Intercept Form:

Slope:

Parallel Slope:

Y-Intercept:
4
5.) Graph the line perpendicular to

Slope Intercept Form:

Slope:

Perpendicular Slope:

Y-Intercept:
y =-2x-3
EXAMPLE THREE: Determine Parallel and Perpendicular lines from the graph and
equation.
6.) Determine which lines are parallel by calculating slope on the graph.
5
7.) Determine which lines are parallel by putting the equations in y-intercept form
and comparing the slopes.
A. 8x + 3y = 9,
3y –4 = 8x
B.
y = 8x –3,
8x + y = 3
YOU TRY: Determine Parallel and Perpendicular lines from the graph and equation.
8.) Determine which two lines are parallel on the graph.
6
9.) Determine which lines are parallel by putting the equations in y-intercept form
and comparing the slopes.
A. 10x + 2y = 7,
5x –y = 6
B. 2x + y = 5,
7
y = 0.5x –3