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How do you find the intercepts for $x + 2 y = 10$ $x + 2y = 10$ ?

1 Answer

Jun 12, 2015

To find the x intercept set $y = 0$ $y=0$ in your equation then solve for $x$ $x$ .
To find the y intercept set $x = 0$ $x=0$ in your equation then solve for $y$ $y$ .

Explanation:

Given $x + 2 y = 10$ $x+2y = 10$

x-intercept
set $y = 0$ $y=0$
$XXXX$ $color(white)("XXXX")$ $x + 2 (0) = 10$ $x +2(0)=10$
$XXXX$ $color(white)("XXXX")$ $x = 10$ $x = 10$

y-intercept
set $x = 0$ $x=0$
$XXXX$ $color(white)("XXXX")$ $(0) + 2 y = 10$ $(0) + 2y = 10$
$XXXX$ $color(white)("XXXX")$ $y = 5$ $y = 5$

The x intercept is 10.
The y intercept is 5.

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