Line n has a slope of 5/3 and passes through the points (4p,-7) and (1,8). what is the value of p?

p =-2

Step-by-step explanation:

The slope is given by  

m = (y2-y1)/(x2-x1)

We have points (4p,-7) and (1,8) and the slope is 5/3

Substituting these in

5/3 = (8--7)/ (1-4p)

Simplifying

5/3 = (8+7)/ (1-4p)

Multiply by (1-4p) on both sides

5/3 (1-4p) = (15)/ (1-4p) * (1-4p)

5/3 (1-4p) = (15)

Multiply by 3 on both sides

5/3 *3(1-4p) = 3*(15)

5(1-4p) = 45

Distribute

5 - 20p = 45

Subtract 5 from each side

5-5-20p = 45-5

-20p = 40

Divide by -20

-20p/-20 = 40/-20

p =-2

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step-by-step explanation:

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