# How do you find the slope and intercepts of #x-2y=8#?

##### 1 Answer

Dec 8, 2016

#### 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 represents the slope and b, the y-intercept.

#"Rearrange " x-2y=8" into this form"# Leave - 2y on the left side and subtract x from both sides.

#cancel(x)cancel(-x)-2y=-x+8#

#rArr-2y=-x+8# divide ALL terms on both sides by - 2

#(cancel(-2) y)/cancel(-2)=(-1)/(-2)x+8/(-2)#

#rArry=1/2x-4larr" now in above form"#

#rArr"slope " =1/2" and y-intercept " =-4# To find the x-intercept, substitute y = 0 into the equation and solve for x.

#rArrx-(2xx0)=8rArrx=8" is the x-intercept"#