How do you find the x and y intercept given #5x+y=5#?

1 Answer
Oct 29, 2015

Answer:

The x-intercept is #1# and the point is #(1,0)#.
The y-intercept is #5# and the point is #(0,5)#.

Explanation:

Solve #5x+y=5# for #y#.

#y=-5x+5#

X-intercept:*The value of #x# when #y=0#.

Substitute #0# for #y# and solve for #x#.

#0=-5x+5#

Add #5x# to both sides.

#5x=5#

Divide both sides by #5#.

#x=5/5=#

#x=1#

The point for the x-intercept is #(1,0)#.

Y-Intercept:*The value of #y# when #x=0#.

Substitute #0# for #x#.

#y=-5x+5#

#y=-5(0)+5=#

#y=5#

The point for the y-intercept is #(0,5)#.

graph{y=-5x+5 [-18.4, 12.39, -6.66, 8.74]}