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Write an equation in point-slope form for the line that passes through the given point with the slope provided.

2,1, slope 3

Short Answer

Expert verified

The equation of the line in point-slope form is y1=3(x+2).

Step by step solution

01

Step 1. The equation in the point-slope form:

The equation of the line passing through the point x1,y1and having slope m, in point-slope form is given by,

yy1=mxx1       .........1

02

Step 2. Write an equation for the line passing through the point (−2,1) having slope −3. 

Substitute x1=2,y1=1and m=3in (1),

y1=3x2y1=3x+2

Therefore, the equation of the line in point-slope form is y1=3x+2.

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