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Which equations represent the line shown in the graph?


Choose all answers that are correct.



A: y+4=8/5(x+3)

B: -8x+5y=17

C: y=8/5x+17/5

D: 5x-8y=17

Which equations represent the line shown in the graph? Choose all answers that are correct. A: y+4=8/5(x+3) B: -8x+5y=17 C: y=8/5x+17/5 D: 5x-8y=17 class=

Verified Answer :

nobillionaireNobley

The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5

Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.

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