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How do you find the X and Y intercepts of -x+2y=8?

1 Answer

Oct 2, 2015

x-intercept: $(- 8)$ $(-8)$
y-intercept: $4$ $4$

Explanation:

The x-intercept is the value of $x$ $x$ where the graph crosses the X-axis; for all points on the X-axis, $y = 0$ $y=0$
Therefore the x-intercept is the value of $x$ $x$ when $y = 0$ $y=0$ for the given equation ( $- x + 2 y = 8$ $-x+2y=8$ )

$XXX - x + 2 (0) = 8$ $color(white)("XXX")-x+2(0)=8$
$XXX x = - 8$ $color(white)("XXX")x=-8$

Similarly the y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$ in the given equation.

$XXX - 0 + 2 y = 8$ $color(white)("XXX")-0+2y=8$
$XXX y = 4$ $color(white)("XXX")y=4$

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