Question #624a2

1 Answer
Mar 29, 2017

Answer:

#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"#