How do you find the x and y intercept of $5 x - y = 35$ $5x-y=35$ ?

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Answer 1 · 2017-01-18T15:35:09

See the entire process below:

To find the x-intercept substitute $0$ $color(red)(0)$ for $y$ $color(red)(y)$ and solve for $x$ $x$ :

$5 x - y = 35$ $5x - color(red)(y) = 35$ becomes:

$5 x - 0 = 35$ $5x - color(red)(0) = 35$

$5 x = 35$ $5x = 35$

$\frac{5 x}{5} = \frac{35}{5}$ $(5x)/color(red)(5) = 35/color(red)(5)$

$(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 7$

$x = 7$

To find the y-intercept substitute $color(red)(0)$ for $color(red)(x)$ and solve for $y$ :

$5color(red)(x) - y = 35$ becomes:

$(5 xx color(red)(0)) - y = 35$

$0 - y = 35$

$-y = 35$

$color(red)(-1) xx - y = color(red)(-1) xx 35$

$y = -35$

The x-intercept is $7$ or (7, 0)

The y-intercept is $-35$ or (0, -35)

How do you find the x and y intercept of 5x-y=355x−y=355x-y=35?