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
0
