45. The graph of 2x - 3y = 6 is shown on the grid. Which ordered pair is in the solution set of 2x - 3y 6?
A.(0, -2)
B.(4,0)
C.(3,-1)
D.(2,-3)

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Ответ:

garasonmario

08.01.2020

Mathematics

$y = \frac{4}{3} + 5$ (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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45. The graph of 2x - 3y = 6 is shown on the grid. Which ordered pair is in the solution set of 2x - 3y 6? A.(0, -2) B.(4,0) C.(3,-1) D.(2,-3)