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The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3, 6) and(4, 1). Find the equation of the line that contains the given segment. The line segment is AB.

Respuesta :

lucic

The equation of the line that contains the given segment is y= -5x + 21

Step-by-step explanation:

Here you are required to find the equation of a line segment AB where point A is (3,6) and point B is (4,1).

First find the slope of the line.

slope ,m = Δy/Δx

Δy=1-6 = -5

Δx=4-3=1

m=-5/1 = -5

Taking one point (4,1) and another one on the line segment (x,y) with a slope of -5, the equation can be written as;

-5 =Δy/Δx

-5= y-1/x-4

y-1=-5(x-4)

y-1=-5x+20

y= -5x +20 + 1

y= -5x + 21

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Keywords: line segment, equation

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