Question

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

Answer 1

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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