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QuestionFind the equation in point-slope form of a line with slope m=−3m=-3 through the point (8,2)(8,2).

Studdy Solution

STEP 1

Assumptions1. The line intersects the points (8,) and (12,-10). . The slope of the line (m) is -3.
3. We are asked to write an equation in point-slope form using the point (8,).

STEP 2

The point-slope form of a line is given by the equationy−y1=m(x−x1)y - y1 = m(x - x1)where (x1,y1)(x1, y1) is a point on the line and mm is the slope of the line.

STEP 3

We are given that the slope of the line, mm, is -3 and the point (x1,y1)(x1, y1) is (8,2). We can substitute these values into the point-slope form equation.
y−2=−3(x−8)y -2 = -3(x -8)

STEP 4

This is the equation of the line in point-slope form using the point (8,2).So, the solution isy−2=−3(x−8)y -2 = -3(x -8)

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