How do you find the x and y intercept given $x - y = 4$ $x-y=4$ ?

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How do you find the x and y intercept given $x - y = 4$ $x-y=4$ ?

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Answer 1 · 2018-03-09T14:01:25

x-intercept at $x = 4$ $x=4$
y-intercept at $y = - 4$ $y=-4$

Explanation:

The x-intercept (point where a graph of the function crosses the X-axis) is the value of $x$ $x$ when $y = 0$ $y=0$ (since for all points on the X-axis, $y = 0$ $y=0$ )
$x - y = 4$ $x-y=4$ with $y = 0 \to x - 0 = 4 \to x = 4$ $y=0rarr x-0=4 rarr x=4$

Similarly, the y-intercept it the value of $y$ $y$ when $x = 0$ $x=0$
$x - y = 4$ $x-y=4$ with $x = 0 \to 0 - y = 4 \to y = - 4$ $x=0rarr 0-y=4 rarr y=-4$

Note: some instructors prefer to have the x and y intercepts written as coordinate pairs; in this case:
x-intercept is at $(4, 0)$ $(4,0)$
and
y-intercept is at $(0, - 4)$ $(0,-4)$

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How do you find the x and y intercept given $x - y = 4$ $x-y=4$ ?

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How do you find the x and y intercept given $x - y = 4$ $x-y=4$ ?