Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}$

First, we can calculate m, or slope

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1$

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

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

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