Question

What is the equation of the line that passes through the points (5, 2) and (4,-7)
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Answer 1

y = 9x - 43

Explanation:

First, find the slope using m = y2-y1/x2-x1.

m = -7 - 2/ 4-5

m= -9/-1

(negative multiplied by negative is positive)

m = 9

Plug in the slope into y = mx+b

^Using (5,2), substitute the x and y values, and use 9 for m.

2 = 9(5) + b

2 = 45 +b

(Subtract 45 from both sides)

-43 = b

The final answer is :

y = 9x + -43

y = 9x - 43