4.1 – 4.6 Test Review
Solve the equation for y. State the slope and y13. The slope of a line is 5 and the point (-4,11)
intercept.
lies on the line. Determine if the line is a
1. x-6y=18
direct variation equation.
Graph the equation using intercepts.
Write the equation for a linear function in the
2. 10x-5y=-5
form f(x)=mx+b that has the given value.
Graph the equation using slope and y-intercept.
14. f(-8)=10; f(0)=2
3. y=2x+8
15. What value of c in the equation 𝑐𝑥 + 4𝑦 =
4. 6y+3x=18
12 would give the equation a slope of 8?
Find the slope of the line that passes through the
16. What is the intersection of the lines y=12
points.
and x=-5/3?
5. (2,-5) and (5,-5)
17. Choose the lines that represent a linear
6. (-8, -7) and (-4,-2)
function.
Find the value of x or y so that the line passing
a. y=7
through the two points has the given slope.
b. x=12
1
7. (-3,y), (-9, -2); m=1
c. 4 𝑥 + 2𝑦 = 10
8. (-7,-1), (-2,y); m=3/5
4
2
d. 𝑦 + 𝑥 = 20
9. You are considering buying a variablee. 4𝑥 2 = 10
speed drill. One model you are considering
18. Is the equation 4x-y-2=0 an example of
has two different speeds. The number of
direct variation? Explain why or why not.
revolutions r of the drill bit in m minutes
The graph of a direct variation equation is shown.
using the slower speed is given by equation
Write the direct variation equation. Then find the
r=300m. The number of revolutions using
value of y when x=10.
the faster speed is given by the equation
19.
r=1200m.
a. Graph both equations in the same
coordinate plane. What do the rintercepts mean in this situation?
b. How many more revolutions in 3
minutes does the faster speed on
the drill make than the slower
20.
speed?
Tell whether the equation represents direct
variation. If so, identify the constant of variation.
10. 3x+y=-2
11. 4x+3y=9
12. 6.5x=13y
1. y=(1/6)x-3
2.
4.1 – 4.6 Test Review Answers
7. 4
8. -4
9. The r-intercepts indicate the number of
revolutions per minute when the drill isn’t
on.
3.
4.
5. 0
6. 5/4
10. No
11. No
12. Yes; 5
13. No
14. f(x)=-x+2
15. -32
16. (-5/3,12)
17. a and c
18. No; if you write the equation in slopeintercept form, you get y=(-2/3)x-2. This
equation would intersect the y-axis at (0,2).
Direct variation equations must intersect at
the origin.
19. y=(-5/8)x; -25/4
20. y=(10/3)x; 100/3