How do you write the equation of the line with x intercept of -8 and slope of -5/4?

1 Answer
Mar 3, 2018

#y = -5/4x - 10#

Explanation:

Given Information
Slope #-5/4#
X-Intercept #-8#

You can substitute #-8# and solve for #y# to find the correct equation.

#y = -5/4(x)#
Substitute #-8# into #x# to solve for #y#

#y = -5/4(-8)#

#y = 10#

For this to work, you need to visualize if the line would pass through positive #10# by having the slope angle it does (negative) and it needs to pass through #-8#. It wouldn't, since the line would pass through instead positive #8# on the x-axis. So you need to flip #10# to be #-10#, making the equation be #y = -5/4x - 10#.