How do you determine the intercepts of $y = 5 x - 13$ $y=5x-13$ ?

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Answer 1 · 2016-12-26T03:22:14

The y-intercept is: -13 or (0, -13).

The x-intercept is 13/5 or (13/5, 0)

Because this equation is in the slope-intercept form $y = m x + b$ $y = color(red)(m)x + color(blue)(b)$

Where $m$ $color(red)(m)$ is the slope and and $b$ $color(blue)(b)$ is the y-intercept we know for this equation the y-intercept is: -13 or (0, 13).

To find the $x$ $x$ intercept we need to set $y = 0$ $y = 0$ and solve for $x$ $x$ :

$0 = 5 x - 13$ $0 = 5x - 13$

$0 + 13 = 5 x - 13 + 13$ $0 + color(red)(13) = 5x - 13 + color(red)(13)$

$13 = 5 x - 0$ $13 = 5x - 0$

$13 = 5 x$ $13 = 5x$

$\frac{13}{5} = \frac{5 x}{5}$ $13/color(blue)(5) = (5x)/color(blue)(5)$

$13/5 = (color(blue)(cancel(color(black)(5)))x)/cancel(color(blue)(5))$

$13/5 = x$ or $x = 13/5$

Therefore the x-intercept is 13/5 or (13/5, 0)

How do you determine the intercepts of y=5x-13y=5x−13y=5x-13?