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 to submit your solution.

Answer 1

y= - x + 4

Explanation:

The point-slope form of the equation of a line is:

y= m ( x - h )+ k

Where m is the slope and (h,k) is a point through which the line passes.

The slope of the line is m=-1 and it passes through (-1,5), thus the equation of the line is:

y=(-1) ( x - (-1) ) + 5

Operating:

y= - ( x + 1 ) + 5

y= - x - 1 + 5

Simplifying:

y= - x + 4