How do you write an equation of a line with (2,3);(1,5)?

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Answer 1 · 2018-04-08T02:37:12

The equation of the line is #y=-2x+7#.

First, find the slope between the two lines:

#m=(5-3)/(1-2)=2/(-1)=-2#

Then, use the point-slope formula to construct an equation:

#y-3=-2(x-2)#

#y-3=-2x+4#

#y=-2x+4+3#

#y=-2x+7#

That's the equation of the line. Here's a picture:

Hope this helped!