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Find an equation of a line containing the points(1,4)and(6,2).

Short Answer

Expert verified

The equation of the line isy=-25x+225.

Step by step solution

01

Step 1. Given Information.

The points are:

(1,4)and(6,2).

02

Step 2. Finding the Slope.

The slope of the line is,

m=y2-y1x2-x1

Inputting the values,

m=2-46-1

=-25

03

Step 3. Equation of a line.

The point-slope form is,

(y-y1)=m(x-x1)

Inputting the values,

(y-4)=-25(x-1)y-4=-25x+25y=-25x+225

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