Asked by denise

what is an equation of the line containing the given point and prallel to the given line; (5,-2);6x-7y=4
Answered by Max
First, put the equation in slope-intercept form.
6x-7y=4
-7y=-6x+4
-y=-6/7x+4/7
y=6/7x-4/7


So the slope of the parallel line will also be 6/7.

Now use the point slope formula to find the
equation of the line.

y-y1=m(x-x1)
y-(-2)=6/7(x-5)
y+2=6/7(x-5)
y+2=6/7x-30/7
y=6/7x-44/7

That is the equation of the line.
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