Question

Which Of The Equations Below Best Describes The Graph? Mark All That Apply. (Please Help) 15 pts !

Answer 1

Option B:

The equation of the line given is $y=\frac{1}{3} x+2$.

Solution:

Take any two points on the line of the graph.

Let the points be (0, 2) and (3, 3).

Slope of the line:

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

$m=\frac{3-2}{3-0}$

$m=\frac{1}{3}$

Using point-slope formula,

$y-y_1=m(x-x_1)$

$y-2=\frac{1}{3} (x-0)$

$y-2=\frac{1}{3} x-0$

Add 2 on both sides of the equation.

$y=\frac{1}{3} x+2$

The equation of the line given is $y=\frac{1}{3} x+2$.

Hence Option B is the correct answer.