What is the slope and intercept of #2x + y = -2#?

1 Answer
Nov 14, 2015

Answer:

Slope #= - 2#,
#y#-intercept #= -2#,
#x#-intercept #= -1#.

Explanation:

We start with:
#2x + y = -2#.

The equation of a straight line is usually written as:
#y = mx + c#, where m is the gradient and #c# the #y#-intercept. So, we will put it in that format:
#2x + y = -2#,
#y = -2x -2#. So, we know that #m = -2# and that the #y#-intercept is at #-2#.

If we want to know the #x#-intercept, we can simply substitute #y# by 0 and solve for #x#:
#0 = - 2x - 2#,
#2x = - 2#,
#x = -1#.

Hope it Helps! :D .