Question

Question #624a2

Answer 1

`y=1/2x+2`

Explanation:

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(" parallel lines have equal slopes")color(white)(2/2)|))`

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 represents the slope and b, the y-intercept.

`y=1/2x-3" is in this form"`

`rArrm=1/2`

The partial equation is therefore `y=1/2x+b`

To find b, substitute (-2 ,1) into the partial equation.

`1=(1/2xx-2)+b`

`rArr1=-1+btob=1+1=2`

`rArry=1/2x+2larrcolor(red)" in slope-intercept form"`