Question

Write the slope-intercept form of the equation of the line through the given points. (0,3) and (-4 -1)

Answer 1

Answer:

y = x + 3

Step-by-step explanation:

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, -1) and (0, 3) → b = 3.

Calculate the slope:

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

Therefore we have the equation:

y = 1x + 3