What are the intercepts of the line #y = 5x - 10#?

1 Answer
Jul 25, 2018

Answer:

The #x#-intercept is at #(2, 0)# and the #y#-intercept is at #(0, -10)#.

Explanation:

To find the #x#-intercept, plug in #0# for #y#:
#0 = 5x - 10#

Solve for #x#. Add #color(blue)10# to both sides:
#10 = 5x#

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

#2 = x#

Therefore,
#x = 2#

The #x#-intercept is at #(2, 0)#.

To find the #y#-intercept, plug in #0# for #x#:
#y = 5(0) - 10#

Solve for #y#. Simplify:
#y = 0 - 10#

#y = -10#

The #y#-intercept is at #(0, -10)#.

Hope this helps!