Question

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

Answer 1

`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`

Answer 2

`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"`