Write the point-slope form of the equation with the given slope that passes through the indicated point. A.) the line with slope -4 passing through (5,4). and also B.) the line with slope 2 passing through (-1,-2). please help, this confusing?

1 Answer
Jim G.
Apr 29, 2018

y-4=-4(x-5)" and "y+2=2(x+1)

Explanation:

"the equation of a line in "color(blue)"point-slope form" is.

•color(white)(x)y-y_1=m(x-x_1)

"where m is the slope and "(x_1,y_1)" a point on the line"

(A)" given "m=-4" and "(x_1,y_1)=(5,4)

"substituting these values into the equation gives"

y-4=-4(x-5)larrcolor(blue)"in point-slope form"

(B)" given "m=2" and "(x_1,y_1)=(-1,-2)

y-(-2))=2(x-(-1))

rArry+2=2(x+1)larrcolor(blue)"in point-slope form"

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