What is the slope and y-intercept of this line y = –2x + 8?

1 Answer
Apr 13, 2018

Answer:

slope: #-2#

#y#-intercept : #(0, 8)#

Here's how I did it:

Explanation:

This linear equation is in slope-intercept form, or:
www.katesmathlessons.com

From this image, you can see that #m#, or the slope, is the value in front of #x#. In our example, #-2# is multiplying the #x#, so we know that #-2# is the slope.

#y#-intercept refers to the value of #y# when you plug in #0# for #x#.

So let's do that:
#y = -2(0) + 8#

#y = 0 + 8#

#y = 8#

So we know the #y#-intercept is #(0, 8)#.

To conclude:

slope: #-2#

#y#-intercept : #(0, 8)#

Hope this helps!