Question

Which equation represents the function graphed below? 8. The graph of a through (8,9 the equation fo А. У c. y D. y 6 A. y=- B. y=-4 C. y = -6

Answer 1

D is the answer.

The general equation of a line is given as y = mx + c where

m is the gradient, in this case, we can get it at the points (x,y) for 1 and 2 at (0,-4) and (6, 0)

`m\text{ =}\frac{y_2-y_{1_{}}}{x_2-x_1}=(0-(-4))/(6-0)=(4)/(6)=(2)/(3)`

and

c is the intercept on the y-axis clearly seen to cut the y axis at -4

We have the equation to be y = 2x/3 - 4

Thus ratifying our answer.

D is the answer.