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

Answer:

$y = \frac{4}{3} + 5$ (The y-intercept can be anything however the slope needs to be the same in order for it to be parallel)

Step-by-step 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

$y-5 = \frac{4}{3}x + \frac{8}{3}$

$y-5+5 = \frac{4}{3}x + \frac{8}{3}+5\\\\\frac{5}{1}*\frac{3}{3} = \frac{15}{3} \\\\y = \frac{4}{3}x + \frac{8}{3}+\frac{15}{3} \\\\y = \frac{4}{3}x + \frac{23}{3}$

m = 4/3

Parallel: Same Slope, Different Y-int

$y = \frac{4}{3} + 5$