Question

The equation

-8x-y=3
8x+y=-3
have the same/different what slopes and the same/different what y-intercepts? ​

Answer 1

Explanation:

Arrange each of the equations into y = mx+ b to compare....m is the slope and b is the y -axis intercept

- 8x - y = 3 ======> y = -8x -3

8x + y = - 3 ======> y = - 8x -3

These are equations of the SAME LINE with slope = -8 intercept = -3

Answer 2

The equations have the same slopes and the same y-intercepts.

Explanation:

`\boxed{\begin{minipage}{6.4 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}`

Rearrange both equations so that they are in slope-intercept form.

`\underline{\sf Equation\;1}\\\\\begin{aligned}-8x-y&=3\\-8x-y+8x&=8x+3\\-y&=8x+3\\y&=-8x-3\end{aligned}`

`\underline{\sf Equation\;2}\\\\\begin{aligned}8x+y&=-3\\8x+y-8x&=-8x-3\\y&=-8x-3\end{aligned}`

Therefore, the equations have the same slopes and the same y-intercepts.