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Write an equation of the line that passes through the given point and has the given slope.

3,1, slope25

Short Answer

Expert verified

The equation of the line that passes through the point 3,1 and has the slope25 is y=25x+15.

Step by step solution

01

Step 1. Write the equation of the line that passes through the point x1,y1 and has the slope m.

The equation of the line that passes through the pointx1,y1 and has the slopem is given by:

yy1=mxx1

02

Step 2. Write the equation of the line that passes through the point −3,−1 and has the slope 25.

The slope of the line is 25. Therefore, the value ofm is 25.

The given point is 3,1. Therefore, the values ofx1 andy1 are3 and1 respectively.

Now substitute25 for m,3 forx1 and1 fory1 in the equationyy1=mxx1 to find the equation of the line.

role="math" localid="1647414515033" yy1=mxx1y1=25x3y+1=25x+3y+1=25x+65y=25x+651y=25x+655y=25x+15

Therefore, the equation of the line that passes through the point3,1 and has the slope25 is y=25x+15.

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