Question

Write the slope-intercept form of the equation of each line.

7) y - 9 =2/3 (x + 6)
8) y + 4 = 8(x - 2)

Answer 1

7) y =
`(2)/(3)`x + 13

8) y = 8x - 20

Explanation:

Question 7

y - 9 =
`(2)/(3)`(x + 6)

Step 1: Distribute
`(2)/(3)` to (x + 6); y - 9 =
`(2)/(3)`x + 4

Step 2: Add 9 to both sides; y =
`(2)/(3)`x + 13

Question 8

y + 4 = 8(x - 2)

Step 1: Distribute 8 to (x - 2); y + 4 = 8x - 16

Step 2: Subtract 4 from both sides; y = 8x - 20