Question

4 of 64 of 6 Items



Question
Suppose y varies directly with x, and y = 24 when x = 8. What is the value of y when x = 10?
(1 point)
Responses

10
10

30
30

80
80

240

Answer 1

5 of 65 of 6 Items



Question
What is an equation for the line with slope two-thirdsand y-intercept 9?
(1 point)
Responses

lower y equals two-thirds lower x
Image with alt text: lower y equals two-thirds lower x

lower y equals 9 lower x
Image with alt text: lower y equals 9 lower x

lower y equals two-thirds lower x plus 9
Image with alt text: lower y equals two-thirds lower x plus 9

lower y equals 9 lower x plus two-thirds

Answer 2

6 of 66 of 6 Items



Question
What is an equation in slope-intercept form for the line that passes through the points (1, –3) and (3, 1)?
(1 point)
Responses

y = 3x + 1
y = 3 x + 1

y = x – 3
y = x – 3

y = 2x + 5
y = 2 x + 5

y = 2x – 5

Answer 3

30

Answer 4

The equation for the line with slope two-thirds and y-intercept 9 is: y = (2/3)x + 9

Answer 5

To find the slope of the line passing through (1, -3) and (3, 1), we use the formula (y2 - y1)/(x2 - x1):

Slope = (1 - (-3))/(3 - 1) = 4/2 = 2

Given that the slope is 2, and using the point-slope formula and either of the given points, let's choose (1, -3):

y - (-3) = 2(x - 1)
y + 3 = 2x - 2
y = 2x - 5

Therefore, the equation in slope-intercept form for the line passing through the points (1, -3) and (3, 1) is: y = 2x - 5.

The correct response is:
y = 2x - 5