Question

Which equation describes this line?

Answer 1

Answer:

B. $y-9=2(x-1)$

Step-by-step explanation:

We have been given graph of a line on coordinate plane. We are asked to find the equation of our given line.

First of all, we will find slope of our line using points $(-2,3)\text{ and }(1,9)$ in slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{9-3}{1-(-2)}$

$m=\frac{6}{1+2}$

$m=\frac{6}{3}$

$m=2$

We can see that our given equations are in point-slope form of equation: $(y-y_1)=m(x-x_1)$, where,

m = Slope,

$(x_1,y_1)$ = Coordinates of point on line.

We can get two equations of our line in point-slope form as:

$(y-3)=2(x--2)$

$(y-3)=2(x+2)$ or

$(y-9)=2(x-1)$

Upon looking at our given choices, we can see that option B is the correct choice.