How do you find the x and y intercepts of $x+5y=-15$ ?

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Answer 1 · 2017-08-20T17:04:52

See a solution process below:

To find the intercepts substitute $0$ for one variable and solve for the other.

x-intercept:

Substitute $0$ for $y$ and solve for $x$ :

$x + 5y = -15$ becomes:

$x + (5 * 0) = -15$

$x + 0 = -15$

$x = -15$ or #(-15, 0)

y-intercept:

Substitute $0$ for $x$ and solve for $y$ :

$x + 5y = -15$ becomes:

$0 + 5y = -15$

$5y = -15$

$(5y)/color(red)(5) = -15/color(red)(5)$

$(color(red)(cancel(color(black)(5)))y)/cancel(color(red)(5)) = -3$

$y = -3$ or $(0, -3)$

How do you find the x and y intercepts of x+5y=-15x+5y=-15?