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

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Answer 1 · 2017-05-25T06:51:13

$x$ -intercept: $(3,0)$
$y$ -intercept: $(0,-15)$

To find the intercepts, set $x$ and $y$ equal to $0$ in turn

$color(red)(y)=5color(blue)(x)-15$

For the $x$ -intercept: set $color(red)(y=0)$

$color(red)(0)= 5x-15$

$15 = 5x$

$3=x$

$x$ -intercept is $(3,0)$

For the $y$ -intercept: set $color(blue)(x=0)$

$y= 5(color(blue)(0))-15$

$y = -15$

$y$ -intercept is $(0,-15)$

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