Question

What is the equation of the line? (Answer choices & graph attached.)

Answer 1

Answer:

Option B is the correct equation of the line.

Step-by-step explanation:

Here, from the above given graph we can find that if:

x = -4, then y = 2

and when x = 4, y = -1

Now, slope of the line joining these two pints is: $\frac{Y_2 - Y _ 1}{X_2 - X_1}  = \frac{2 - (-1)}{-4 -4}$ = -1/8

⇒ m = -(1/8)

Now, by point slope formula,the equation of line is:

y - y0 = m  (x-x0)

So, $(y -2) =  -\frac{3}{8} (x + 4)$

Hence, option B is the correct equation of the line.