What are the intercepts of $- y = 6 (x + 8)$ $-y=6(x+8)$ ?

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Answer 1 · 2015-11-06T00:34:31

x-intercept = $- 8$ $color(green)( -8$
y-intercept = $- 48$ $color(green)(-48$

graph{y = -6(x+8) [-65.9, 65.73, -52.5, 16.1]}

An intercept is where a line crosses an axis.

First you multiply both sides by $- 1$ $-1$ so $y = - 6 (x + 8)$ $y = -6(x+8)$ .

Next set $y = 0$ $y = 0$ to find the x-intercept .
$0 = - 6 (x + 8)$ $0 = -6(x+8)$

distribute $- 6$ $-6$
0 = -6x-48

and solve for x
$48 = - 6 x$ $48 = -6x$
$x = - 8$ $color(green)(x = -8$

To find the y-intercept , set $x = 0$ $x = 0$ and solve.

$y = 6 (0) - 48$ $y = 6(0)-48$
$y = - 48$ $color(green)(y = -48$

What are the intercepts of -y=6(x+8)−y=6(x+8)-y=6(x+8)?