# How do you find the slope and y-intercept of the graph of 2x + 4y=-8?

##### 1 Answer

Sep 4, 2016

slope

y-intercept = - 2

#### Explanation:

The equation of a line in

#color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#

where m represents the slope and b, the y-intercept.The advantage to having the equation in this form is that m and b can be extracted 'easily'.

Rearrange

#2x+4y=-8" into this form"# subtract 2x from both sides of the equation.

#rArrcancel(2x)-cancel(2x)+4y=-8-2xrArr4y=-2x-8# now divide both sides by 4 to obtain y.

#rArr(cancel(4)^1 y)/cancel(4)^1=(cancel(-2)^-1)/cancel(4)^2 x-cancel(8)^2/cancel(4)^1#

#rArry=-1/2x-2" is equation in y = mx + b form"# from this

#"slope" =-1/2" and y-intercept" =-2#