Question

Which equation is graphed here?

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)

Graph Shown Below. Please help!

Answer 1

I think the answer here is a

Answer 2

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

Explanation:

Start by rewriting the equation A into slope intercept form (y=mx+b).

1) Distribute the -3/2 to x and -4:

y+5=-3/2x+6

2) Subtract 5 from both sides:

y=-3/2x+1

Now lets check to see if the equation matches up with the line...

The slope (-3/2) is correct, because every time you go down three, you go across to the right 2!

We also know the y intercept, (1) is correct, because the line crosses the y axis at the point (0,1)

Therefore, the correct answer is A!