Question

A line passes through the points ( 9 , − 8 ) and ( 13 , 32 ) . Which of the following is a correct point-slope form equation of the line? Check ALL that apply.

Answer 1

This is about calculating slope of a line between two coordinates.

Correct point slope form of Equation is;

y = 10x - 82

• Formula for slope of a line between two coordinates is;

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

• We are given the coordinates as  (9, −8) and ( 13 , 32 ).

Thus;

m = (32 - (-8))/(13 - 9)

m = 40/4

m = 10

• From the point slope formula, the Equation will be;

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

y - (-8) = 10(x - 9)

y + 8 = 10x - 90

y = 10x - 90 + 8

y = 10x - 82

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