How do you graph using slope and intercept of #5x + 2y = -1#?

1 Answer
Lucy
Jul 10, 2018

Below

Explanation:

#5x+2y=-1#
#2y=-5x-1#
#y=-5/2x-1/2#

The general form of this equation is #y=mx+b# where m is the gradient or slope and b is the constant that tells you to shift up or down the graph by b units.

To find your intercepts, you need to sub either #x=0# or #y=0# depending on whether you are finding your y-intercept or x-intercept respectively.

When #x=0#,
#y=-5/2(0)-1/2#
#y=-1/2#
Therefore, your y-intercept is #(0,-1/2)#

When #y=0#,
#5x+2(0)=-1#
#5x=-1#
#x=-1/5#
Therefore, your x-intercept is #(-1/5,0)#

graph{5x+2y=-1 [-10, 10, -5, 5]}

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