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

1 Answer
Jun 9, 2017

Answer:

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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