Question

A line passes through the point , −8−3 and has a slope of 34 . Write an equation in slope-intercept form for this line.

Answer 1

First use the point slope form

y-y1=m(x-x1)
plug in the ordered pair to the y1 and x1 so
y--3=m(x--8)
add the slope and make the double minus into a plus

y+3=34(x+8)
then you can distribute the 34

y+3=34x+272

then to get it to slope intercept you subtract 3 from both sides of the equation to make it y=mx+b so

y=34x+269