Respuesta :

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

[tex]\frac{rise}{run}[/tex], where rise is the vertical value and run is the horizontal value

So we sub in our values:

[tex]\frac{2}{4}[/tex]

And simplify:

[tex]\frac{1}{2}[/tex]

So now we sub in our new found values into y=mx+c:

y=1/2x+2

3644253

Answer: y = x/2 + 2 which is the 4th option from the top

Step-by-step explanation:

First find the slope which is (0-2)/(-4-0) = 2/4 = 1/2

So it's y = x/2 + c

Substituing (-4,0) into the equation we get

0 = -4/2 + c

0 = c-2

c = 2

So the equation is y = x/2 + 2 which is the 4th option from the top