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

2 Answers
Mark D.
Aug 8, 2018

#y=mx++c# is the general equation with #m# as the slope

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

#7=4xx-3+c#

#7=-12+c#

#c=19#

This gives #y=4x+19#

Jim G.
Aug 8, 2018

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

Explanation:

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

#•color(white)(x)y-b=m(x-a)#

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

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

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

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