Question

Write a equation for the graph in slope-intercept form.

Answer 1

y = -3x + 10

Explanation:

the graph is going from right to left, so the graph is negative

the place where the graph intersects on the y-axis is 10

y-intercept = 10

slope:
`(rise)/(run)`

to find the slope, pick two points on the graph and find the rise/run between them.

(2, 4) and (1, 7)

(x, y)

when we "rise" we're looking at the y numbers, so to get from (2, 4) to (1, 7) we rise 3

when we "run", we're looking at the x numbers, so to get from (2, 4) to (1, 7) we "go down" 1, meaning that the 1 will be a negative -1

3 is the rise, -1 is the run, so the fraction will be
`(3)/(-1) = -3`

slope = -3

slope-intercept form: y = mx + b

slope = m

y-intercept = b

y = -3x + 10

Answer 2

Y = -9/3x + 10

This equation came from the formula Y = mx + b. B is your y-intercept. Mx is your slop.

The explanation would be “I found this because I took my y-intercept which is 10. Then, I rise down 9 and ran to the right 3 times.

I used rise/run to find that