Question

What is the slope, y-intercept, and equation of a line given the points (-4, 0) and (1, 5)?

Slope:

y-intercept:

Equation:

Answer 1

`Slope: 1\\y-Intercept: 4\\Equation: y = x + 4`

Explanation:

Given two points, we can find the equation of the line between them with the following:

`y = mx + b\\m = (y_2-y_1)/(x_2-x_1)`

First, we can calculate m, or slope

`m = (y_2-y_1)/(x_2-x_1) = (5-0)/(1-(-4)) = (5)/(5) = 1`

Next we can use the top equation and solve for b, the y-intercept

`y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4`

`Slope: 1\\y-Intercept: 4\\Equation: y = x + 4`