Question

How do you find the line that passes through the point (-1, 1) and has slope 2?

Answer 1

`y=2x+3`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`

`"where m is the slope and b the y-intercept"`

`"here "m=2`

`rArry=2x+blarr" is the partial equation"`

`"to find b substitute "(-1,1)" into the partial equation"`

`1=-2+brArrb=3`

`rArry=2x+3larrcolor(red)"in slope-intercept form"`
graph{2x+3 [-10, 10, -5, 5]}