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Write an equation for the line in point slope form that passes thru (1,-4) and (3,2)

1 Answer

6 votes

Answer:

y+4 = 3(x -1)

Explanation:

You are given two points, so you only need to find the slope. The slope is given by the formula ...

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

m = (2 -(-4))/(3 -1) = 6/2 = 3

The point-slope equation for a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Using the first point, the equation is ...

y+4 = 3(x -1)

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