QuestionFind the equation in point-slope form of a line with slope $m=-5$ through the point $(4,-2)$ .

Studdy Solution

STEP 1

Assumptions1. The line intersects the points (4,-) and (3,3) . The slope of the line (m) is -53. We need to write an equation in point-slope form using the point (4,-)

STEP 2

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

STEP 3

Now, plug in the given values for the point $(x1,y1)$ and the slope $m$ into the equation.
$y-(-2)=-5(x-)$

STEP 4

implify the equation by removing the double negative on the left side of the equation.
$y+2=-(x-4)$ So, the equation of the line in point-slope form using the point $(4,-2)$ is $y+2=-(x-4)$ .

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