Respuesta :

Answer:

C. y = ½x + 4

Step-by-step explanation:

Equation for a line in slope-intercept form is given as y = mx + b

So, we need to find the slope (m) and the y-intercept (b) of the line given.

m = ∆y/∆x

Using two points on the line, (0, 4) and (-2, 3),

Slope (m) = (3 - 4)/(-2 - 0)

m = -1/-2

m = ½

y-intercept (b) = 4, this is where the line intercepts the y-axis.

To write the equation, substitute m = ½ and b = 4 into y = mx + b

Thus:

y = ½x + 4