What is the x intercept and y intercept of the equation x - 2y = 8?

Question

1256 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-09T23:23:20

See a solution process below:

To find the $x$ $x$ -intercept, substitute $0$ $0$ for $y$ $y$ and solve for $x$ $x$ :

$x - 2 y = 8$ $x - 2y = 8$ becomes:

$x - (2 \cdot 0) = 8$ $x - (2 * 0) = 8$

$x - 0 = 8$ $x - 0 = 8$

$x = 8$ $x = 8$

The $x$ $x$ -intercept is $8$ $8$ or $(8, 0)$ $(8, 0)$

To find the $y$ $y$ -intercept, substitute $0$ $0$ for $x$ $x$ and solve for $y$ $y$ :

$x - 2 y = 8$ $x - 2y = 8$ becomes:

$0 - 2 y = 8$ $0 - 2y = 8$

$- 2 y = 8$ $-2y = 8$

$\frac{- 2 y}{- 2} = \frac{8}{- 2}$ $(-2y)/color(red)(-2) = 8/color(red)(-2)$

$(color(red)(cancel(color(black)(-2)))y)/cancel(color(red)(-2)) = -4$

$y = -4$

The $y$ -intercept is $-4$ or $(0, -4)$