KEY---Chapter 5 Review- 5.4,6.1,6.2,6.3,6.4,7.1
I.
1. Given the equation 6𝑥 – 𝑦 = 8, identify A=_6___, B=__−1____ and C___8____.
2. Given the equation 4𝑥 – 𝑦 = 8, identify the slope____4___ and the y-intercept___−8____.
3. Given the equation ( 𝑦 – 2) = −3 (𝑥 + 5 ), identify the slope__−3__, point ( −5 , 2 )
and y- intercept__−13______.
____A___4. Which equation has a graph that is a horizontal line?
a. 𝑦 = 5
b. 𝑦 = 𝑥
c. 𝑥 = − 2
d. 𝑥 + 𝑦 = 0
___C_____5. Transform the parent linear function so that the graph of the parent function is shifted down 4
units and reflected across the y-axis.
a.
𝑓(𝑥) = 𝑥
b. 𝑓(𝑥) = 𝑥 − 4
c.
d.
𝑓(𝑥) = −𝑥 − 4
𝑓(𝑥) = −𝑥 + 4
6. What is the equation of the line containing point (3,-2) and a slope of 4?
A
𝑦 – 2 = 4(𝑥 + 3)
B
𝑦 − 2 = 4(𝑥 – 3)
C
𝑦 + 2 = 4(𝑥 – 3)
D
𝑦 + 2 = 4(𝑥 + 3)
7. Which is the equation of the line passing through ( −3, 7 ) with slope
2
?
3
2
2
2
3
x7
b. y  x  9
c. y  x  3
d. y  x  9
3
3
3
2
3
8. What is the equation in standard form of a line that passes through the point (3, 14) and has a slope of - ?
5
a. y 
A. x + y = 25
B. 3x + 5y = 123
C. 5x + 3y = 79
D. 3x + 5y = 79
9. Which line is the steepest?
1
2
A. y = x + 3
B. y = x + 2
5
5
C. y = 5 
1
x
5
D. y = 
3
x+2
5
10. What is the equation of the line whose graph has a slope of 3 and a y-intercept of −2 ?
a. 𝑓𝑥) = −3𝑥 + 2
b. 𝑓(𝑥) = −2 + 3𝑥
c. 𝑓(𝑥) = 3𝑥 + 2
d. 𝑓(𝑥) = 3 – 2x
11. Write the equation of the line that passes through the point (−2, −5) and has slope −2.
a. 𝑦 = − 2𝑥 − 2
b. 𝑦 = −2𝑥 – 5
c. 𝑦 = −2𝑥 − 9
d. 𝑦 = −2𝑥 + 1
12. Find an equation of the line through ( -5,-3 ) with m = undefined.
a. y = -3
b. y = x
c. x = -5
d. x + y = 0
II. (problems 13-20) Write the equation of the line in slope-intercept form. Show your
work.
13. 𝑠𝑙𝑜𝑝𝑒 𝑖𝑠 − 5, 𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑖𝑠 3
𝑦 = −5𝑥 + 3
14.
15. ( -1, -7) , ( -2, -12)
𝑏 = −2, 𝑚 = 6 𝑦 = 6𝑥 − 2
16. ( - 5 , -1) , (- 5, -7 )
Slope Intercept form 𝑦 = 5𝑥 − 2
Slope Intercept form𝑥 = −5
17.
18.
x
y
x
Y
-3 -5
0
1
3
7
-2
1
0
1
2
1
4
1
Equation:𝑦 = 1
Equation:𝑦 = 2𝑥 + 1
19.
20.
Slope Intercept form 𝑦 = −2𝑥 − 2
Slope Intercept form𝑦 = 2 𝑥 + 1
1
6
1
21. Which line is parallel to 2 x  y  3
1
b. y   x  3
2
a. y  2 x  3
22. Which line is perpendicular to y 
1
x2
5
1
a. y   x  3
5
1
x3
5
b. y 
23. Write the equation in standard form.
c.  2 x  y  3
c. y  5 x  3
d.  2 x  y  3
d. y  5 x  3
4 x  y  6
24. Write and equation in standard form of the line that passes through the following points.
1,8and 3,14
−3𝑥 + 𝑦 = 5 𝑜𝑟 3𝑥 − 𝑦 = −5
Write each in Point-Slope Form.
25. (−5 ,6) m= − 3
𝑦 − 6 = −3(𝑥 + 5)
26. (−5,9) m= 
Write each in Slope intercept form.
27. (−3, −1) m=
5
3
5
3
5
3
𝑦 − 9 = − (𝑥 + 5)
5
𝑦 = 3𝑥 + 4
28. (−6 ,6) m=0
𝑦=6
V. Parallel and Perpendicular
29. Which of the following lines is parallel to
𝑦 = 5𝑥 + 8?
A. 𝑦 = 8𝑥 + 5
B. y =
1
x+2
5
C. 𝑦 = 9 + 5𝑥
D. 𝑦 = 9 − 5𝑥
30. Which line is the steepest?
1
6
𝑥 + 2
C. 𝑦 = 5 + 3𝑥
D. 𝑦 =
𝑥 + 2
5
5
31. Tell whether the equation represents direct variation. If so, identify the constant of
variation.
𝑦 = 2𝑥 + 3 no
,constant of variation
𝑦 = −5𝑥 yes, constant of variation −5
A. 𝑦 = 5𝑥 + 3
B. 𝑦 =
32 . Tell whether the graph represents direct variation. If so, identify the constant of variation
3
Yes,− 2
no
33. Tell whether the table represent direct variation. If so write the direct variation eq.
Input
Output
1
2
3
4
8
16
24
32
Yes, 𝑦 = 8𝑥
34. Given that y varies directly with x, use the specified values to write a direct variation
equation that relates x and y.
1
𝑥 = 28 𝑦 = −7
𝑦 = −4𝑥
Answer is C
36. Which equation represents the graph below.
𝐴. 2𝑥 + 3𝑦 = 3
𝐵. − 2𝑥 + 3𝑦 = 3
𝐶. − 3𝑥 + 3𝑦 = 1
𝐷. 3𝑥 + 3 𝑦 = −1