review graphing linear equations.pdf - review graphing...

review, graphing linear equations
P. 133 # 1-15 odds + # 25-26
P. 141-142 #1-15 odds + # 23-24
- P. 133 # 1-15 odds + # 25-26
3. 4 Exercises
Vocabulary and Core Concept Check
1. WRITING. How are x-intercepts and y-intercepts alike? How are they
different?

The graph of the equation x = 4 is shown.
5. y = -3

The graph of the equation y = -3 is shown.
In exercises 7-12, find the x- and y-intercepts of the graphs of the linear
equation.
7. 2x + 3y = 12

To find the x-intercept of a graph, set y=0 then find the value of x by isolating it
to one side of the equation. For the y-intercept, set x = 0 then find the value of y by
isolating it to one side of the equation.
For the x-intercept:
2x + 3y = 12
2x + 3(0) = 12 Set y to 0
2x + 0 = 12
2x = 12
2 2 Divide both sides by 2
Solution: x = 6
The x-intercept is (6,0).
For the y-intercept:
2x + 3y = 12
2(0) + 3y = 12 Set x to 0
0 + 3y = 12
3y = 12 Divide both sides by 3.
3 3

Solution: y = 4
Solution:
The y-intercept is (0, 4).
The x-intercept is 6 and the y-intercept is 4.
X-intercept: (6, 0)
Y-intercept: (0, 4)
9. -4x + 8y = -16
For the x-intercept:
-4x + 8y = -16
-4x + 8(0) = -16 Set y to 0.
-4x + 0 = -16
-4x = -16. Divide both sides by -4.
-4 -4
Solution: x =4
The x-intercept is (4, 0).
For the y-intercept:
-4x + 8y = -16

-4(0) + 8y = -16 Set x to 0.
0 + 8y = -16
8y = -16 Divide both sides by 8.
8 8
Solution: y = -2
The y-intercept is (0, -2).
Solution:
X-intercept: (4, 0)
y - intercept: (0, -2)
The x-intercept is 4 and the y-intercept is -2.