1. yes; y = 2.5x
2. no; y does not vary directly with x
3. 51/1; your car travels 51 miles every 1 hour.
4. 3/3 = 1
5. -3/2
6. y - 2 = 3(x - 5)
7. y + 2 = -1/2(x - 4)
8. y - 16 = 8(x - 2)
9. 2x + 3y = 21
10. y = 3x - 10
11. perpendicular
12. neither
13. y + 4 = -2/5(x - 3)
1. For the data in the table, does y vary directly with x? If it does, write an equation for the direct
variation.
x y
2 5
6 15
18 45
(1 point)
yes; y = 0.4x
yes; y = 10x
yes; y = 2.5x
no; y does not vary directly with x
2. For the data in the table, does y vary directly with x? If it does, write an equation for the direct
variation.
x y
40 32
28 16
16 12
(1 point)
no; y does not vary directly with x
yes; y = 2x
yes; y = 1.5x
yes; y = 0.2x
5. The table shows the number of miles driven over time.
time(hours) Distance(miles)
4 204
6 306
8 408
10 510
Express the relationship between distance and time in simplified form as a unit rate. Determine
which statement correctly interprets this relationship.
(1 point)
51/1; your car travels 51 miles every 1 hour.
204; your car travels 204 miles.
1/51; your car travels 51 miles every 1 hour.
10; your car travels for 10 hours
What is the slope of the line that passes through the pair of points (2, 9), and (5, 12)? (1 point)
0
1
3
undefined
What is the slope of the line that passes through the pair of points (3, –4), and (5, –7)?
2/3
-2/3
-3/2
3/2
Write an equation in point-slope form for the line through the given point with the given slope.
(5, 2); m = 3
(1 point)
y + 2 = 3(x – 5)
y + 2 = 3x – 5
y – 2 = 3(x + 5)
y – 2 = 3(x – 5)
11. Write an equation in point-slope form for the line through the given point with the given slope.
(–4, –2); m = -1/2
(1 point)
y + 2 = -1/2(x – 4)
y + 2 = ( -1/2) x – 4
y + 2 = -1/2(x + 4)
y – 2 = -1/2(x – 4)
The table shows the height of a plant as it grows. Which equation in point-slope form gives the
plant’s height at any time?
Time (months) Plant Height
(cm)
2 16
4 32
6 48
8 64
(1 point)
y – 16 = 8(x – 2)
y-16=16(x+2)
y + 16 = 8(x + 2)
The relationship is nonlinear
4. Write y = –2/3 x + 7 in standard form using integers. (1 point)
2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Write an equation for the line that is parallel to the given line and passes through the given
point.
y = 3x + 4; (6, 8)
(1 point)
y = 3x – 10
y = 3x + 6
y = –3x + 6
y = – x 1/3 – 6
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –3x + 7
–2x + 6y = 3
(1 point)
parallel
perpendicular
neither
17. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = -1/5 x + 6
–2x + 10y = 5
(1 point)
parallel
perpendicular
neither
18. Write the equation of a line that is perpendicular to the given line and that passes through the
given point.
y-4=5/2(x+3);(-3,4)
y+4=-2/5(x-3)
y-3=-2/5(x+4)
y-4=-2/5(x+3)
y+4=2/5(x-3)
1 answer
78 answers