How do you find the x and y intercepts for $y = 7 x + 8$ $y=7x+8$ ?

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How do you find the x and y intercepts for $y = 7 x + 8$ $y=7x+8$ ?

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Answer 1 · 2018-04-26T00:09:27

$x$ $x$ -intercept: $x = - \frac{8}{7}$ $x=-8/7$
$y$ $y$ -intercept: $y = 8$ $y=8$

Explanation:

A graph intercepts the $y$ $y$ -axis when $x = 0$ $x=0$ and the $x$ $x$ -axis when $y = 0$ $y=0$ . So, we must plug in zero for both variables, respectively, and solve.

$y$ $y$ -intercept ( $x = 0$ $x=0$ )

$y = 7 (0) + 8$ $y=7(0)+8$

$y = 8$ $color(blue)(y=8)$

$x$ $x$ -intercept ( $y = 0$ $y=0$ )

$0 = 7 x + 8$ $0=7x+8$

$7 x = - 8$ $7x=-8$

$x = - \frac{8}{7}$ $color(lime)(x=-8/7)$

Our intercepts are in blue and lime green. Hope this helps!

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How do you find the x and y intercepts for $y = 7 x + 8$ $y=7x+8$ ?

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How do you find the x and y intercepts for $y = 7 x + 8$ $y=7x+8$ ?