What are the intercepts of the line $y = 5x - 10$ ?

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Answer 1 · 2018-07-25T04:20:26

The $x$ -intercept is at $(2, 0)$ and the $y$ -intercept is at $(0, -10)$ .

To find the $x$ -intercept, plug in $0$ for $y$ :
$0 = 5x - 10$

Solve for $x$ . Add $color(blue)10$ to both sides:
$10 = 5x$

Divide both sides by $color(blue)5$ :
$10/color(blue)5 = (5x)/color(blue)5$

$2 = x$

Therefore,
$x = 2$

The $x$ -intercept is at $(2, 0)$ .

To find the $y$ -intercept, plug in $0$ for $x$ :
$y = 5(0) - 10$

Solve for $y$ . Simplify:
$y = 0 - 10$

$y = -10$

The $y$ -intercept is at $(0, -10)$ .

Hope this helps!

What are the intercepts of the line y = 5x - 10y = 5x - 10?