Question

What is the slope-intercept equation for the line below? (0,1) (4,3)

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

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

We have the points (4, 3) and (0, 1) → b = 1.

Calculate the slope:

$m=\dfrac{1-3}{0-4}=\dfrac{-2}{-4}=\dfrac{1}{2}$

Answer: $\boxed{D.\ y=\dfrac{1}{2}x+1}$