Question

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

Answer 1

y = x + 3

Explanation:

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

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

Calculate the slope:

`m=(3-(-1))/(0-(-4))=(4)/(4)=1`

Therefore we have the equation:

y = 1x + 3