How do you find the intercepts and graph the line -8x +10=-40 x-intercept: y-intercept?

1 Answer
Alan P.
Jun 9, 2017

x-intercept: x=6.25
The y-intercept does not exist

Explanation:

The x-intercept is the value of x when y=0
(this is just another way of saying that it is the value of x where the equation crosses the X-axis, since for all points on the X-axis y=0)

Given
color(white)("XXX")-8x+10=-40color(white)("XXX")"for all values of "y" including "y=0
rArr -8x=-50

rArr x=6.25

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The y-intercept is the value of y when x=0 (or, if you prefer the value of y where the equation crosses the Y-axis)
....but setting x=0 in the given equation implies 10=-40
which is clearly impossible,
....or, from a graphic point of view, -8x+10=40 is a vertical line (parallel to the Y-axis and therefore does not cross the Y-axis.

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