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Math

QuestionWrite the point-slope form of a line with slope 4 that goes through the point (−9,2)(-9,2).

Studdy Solution

STEP 1

Assumptions1. The slope of the line is4. The line passes through the point (−9,)(-9,)

STEP 2

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

STEP 3

Plug in the given values for the slope and the point into the point-slope form equation.
y−2=(x−(−9))y -2 =(x - (-9))

STEP 4

implify the equation.
y−2=4(x+9)y -2 =4(x +9)This is the point-slope form for the line that satisfies the given conditions.

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