Question

B. Write an equation of a line parallel to the line y – 5 = 4/3(x - 2).

Answer 1

I might be wrong but I think it’s y = 4/3 x + 7/3.

Answer 2

`y = (4)/(3) + 5` (The y-intercept can be anything however the slope needs to be the same in order for it to be parallel)

Explanation:

B. Write an equation of a line parallel to the line y – 5 = 4/3(x - 2).

y - 5 = 4/3 (x - 2)

y - 5 = 4/3x-(4*2)/3

`y-5 = (4)/(3)x + (8)/(3)`

`y-5+5 = (4)/(3)x + (8)/(3)+5\\\\(5)/(1)*(3)/(3) = (15)/(3) \\\\y = (4)/(3)x + (8)/(3)+(15)/(3) \\\\y = (4)/(3)x + (23)/(3)\\`

m = 4/3

Parallel: Same Slope, Different Y-int

`y = (4)/(3) + 5`