Question

What is the equation of the line?

Answer 1

Answer:

Option C  y = $\frac{1}{2}$ x + 2

Step-by-step explanation:

Given line in the graph passes through two points ( -4, 0 ) and ( 0, 2 ).

We have to find the equation of the line.

Equation of this line will be in the form of  y = m x + c

Where c is the y-intercept equal to 2. and m is the slope.

Since   $m=\frac{y - y'}{x - x'}$

           $m=\frac{(2-0)}{(0+4)}$

                      = $\frac{2}{4}$

                  m = = $\frac{1}{2}$

So  the equation will be y  = $\frac{1}{2}$x + 2

Option C is the answer.

Answer 2

this has a y intercept of +2

the line goes up 1 to the right 2  so m = 1/2

the equation of a line in slope intercept form is

y = mx+b

y = 1/2 x + 2