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

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Answer 1 · 2017-05-25T06:51:13

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

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

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

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

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

$15 = 5 x$ $15 = 5x$

$3 = x$ $3=x$

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

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

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

$y = - 15$ $y = -15$

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

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