Question

Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

y = -x + 4

Explanation:

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = -1; y₁ = 5; m = -1 Substitute the values

y – 5 = -1(x + 1) Remove parentheses

y – 5 = -x - 1 Add 5 to each side

y = -x + 4

The graph is a straight line with a y-intercept at y = +4 and a slope = -10/10

= -1.