What is the slope-intercept form of #10x - 5y = -2 #?

2 Answers
Aug 2, 2018

Answer:

#y = 2x + 2/5#

Explanation:

#10x - 5y = -2#

We know that slope-intercept form is:
www.katesmathlessons.com

To make the equation in this form, find #y# by itself.

Subtract #color(blue)(10x)# from both sides:

#10x - 5y quadcolor(blue)(-quad10x) = -2 quadcolor(blue)(-quad10x)#

#-5y = -2 - 10x#

Divide both sides by #color(blue)(-5)#:
#(-5y)/color(blue)(-5) = (-2-10x)/color(blue)(-5)#

#y = 2/5 + 2x#

#y = 2x + 2/5#

As you can see, this matches the slope-intercept form in the image.

Hope this helps!

Aug 2, 2018

Answer:

#y=2x+2/5#

Explanation:

Recall the equation of a line in slope-intercept form

#y=mx+b#, with slope #m# and a #y#-intercept of #b#.

We essentially just want a #y# on the left. Let's start by subtracting #10x# from both sides to get

#-5y=-10x-2#

Lastly, we can divide both sides by #-5# to get

#y=2x+2/5#

Now, our equation is in slope-intercept form, with slope #2# and a #y#-intercept of #2/5#.

Hope this helps!