Graph linear equation identify the x-intercept y-10=-5x?

2 Answers
Feb 25, 2018

graph{y-10=-5x [2,0]}
Coordinates(2,0)

Explanation:

#x#-intercept means that #y=0#
Substitute #y=0#
#-5x=-10#
#x=2#
So coordinate of #x#-intercept is (2,0)

Or, you can draw the graph and see where the line intersects the #x#-axis

graph{-5x+10 [-10, 10, -5, 5]}

The #x#-intercept is #x=2#.

Explanation:

Use the equation to solve for #y# to get

#y=-5x+10#

To easily graph the equation, find the #y#-intercept and continue the line using the slope from the #y#-intercept. The #y#-intercept is #(0,10)# (set #x=0# and solve for #y#).

To find the #x#-intercept, set #y=0# and solve for #x#. Solving for #x# would give the value of #x=2#,