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91Ó°ÊÓ

Find an equation of the line with slope 5containing the point 2,-4.

Short Answer

Expert verified

The equation of a line with a slope5and point2,-4isy=5x-14.

Step by step solution

01

Step 1. Given Information 

The given point is 2,-4and the slope is 5.

We have to find an equation of a line.

02

Step 2. Finding the equation

To find the equation of a line, we will use the point-slope formula which is y-y1=mx-x1.

Here,m=5andx1,y1=2,-4

y--4=5x-2y+4=5x-10y=5x-14

So, the equation of a line isy=5x-14.

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