Math

QuestionFind the equation of a line through (3,4)(3,4) with slope -2 using point-slope form: y4=[?](x[])y-4=[?](x-[]).

Studdy Solution

STEP 1

Assumptions1. The line intersects the point (3,4)(3,4). The slope of the line is -3. We need to substitute these values into the point-slope form of a line equation yy1=m(xx1)y-y_{1}=m\left(x-x_{1}\right)

STEP 2

The point-slope form of a line equation is yy1=m(xx1)y-y_{1}=m\left(x-x_{1}\right), where (x1,y1)(x_{1}, y_{1}) is a point on the line and mm is the slope of the line.

STEP 3

Substitute the given values for x1x_{1}, y1y_{1}, and mm into the equation.
y=2(x3)y-=-2\left(x-3\right)

STEP 4

This is the equation of the line in point-slope form that intersects the point (3,4)(3,4) and has a slope of -2.
y4=2(x3)y-4=-2\left(x-3\right)The solution is y4=2(x3)y-4=-2\left(x-3\right).

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