Question

what are the slope and y intercept of the line 4y = -x - 32?1. slope: -1 y intercept: -322. slope: -8 y intercept: -1/43. slope: -1/4 y intercept: -324. slope: -1/4 y intercept: -8

Answer 1

To answer this question, we need to rewrite the given equation is the slope-intercept form, that is:

`y=mx+b`

Then, we have:

`4y=-x-32\Rightarrow(4)/(4)y=-(x)/(4)-(32)/(4)\Rightarrow y=-(x)/(4)-8`

We divide the whole equation by 4.

Thus, having this equation, we can see that:

`m=-(1)/(4),x=0\Rightarrow y=-8`

The y-intercept is the value of y when x = 0, and this value is y = -8.

Therefore, the slope is m = -1/4, and the y-intercept is y = -8 (option 4).