Question

What equation is being graphed?

A. y+5= -3/2(x-4)
B. y-5= -2/3(x+4)
C. y-5= -3/2(x+4)
D. y-4= -3/2(x+5)

Answer 1

D. y-4= -3/2(x+5)

Explanation:

Firstly, taking two valid ordered pairs from the graph:

(-2,4) and (2,-2)

Using Delta y over Delta x, we are able to obtain m as -3/2

Next,

The following is the point-slope formula:

y-y₁=m(x-x₁)

Based on the graph, (4,-5) can be spotted as a definite ordered pair

Therefore, y-4= -3/2(x+5) fits the graph best and has the appropriate m value.