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LuckyWell [14K]
3 years ago
7

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

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0
I might be wrong but I think it’s y = 4/3 x + 7/3.
svetoff [14.1K]3 years ago
3 0

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

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