How do you write the equation in point slope form given Point: (–3, 7); Slope: 4?

2 Answers
Aug 8, 2018

y=mx++cy=mx++c is the general equation with mm as the slope

y=4x+cy=4x+c now put (-3,7) into the equation to find the y intercept

7=4xx-3+c7=4×3+c

7=-12+c7=12+c

c=19c=19

This gives y=4x+19y=4x+19

Aug 8, 2018

y-7=4(x+3)y7=4(x+3)

Explanation:

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

•color(white)(x)y-b=m(x-a)xyb=m(xa)

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

"here "m=4" and "(a,b)=(-3,7)here m=4 and (a,b)=(3,7)

y-7=4(x+3)larrcolor(red)"in point-slope form"y7=4(x+3)in point-slope form