Question

What is the slope of `y=6-3x`?

Answer 1

`=-3`

Explanation:

`y=mx +c` where `m` is the slope
Slope of the equation
`y=6-3x` is `=-3`

Answer 2

The slope is `color(blue)(-3)`.

Explanation:

Rewrite the equation in slope-intercept form, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`y=-3x+6`

The slope is `-3`, which is understood to be `-3/1`.

You can graph the line using the slope. Start at the y-intercept, `6`, and move down `3` spaces and right `1` space. Mark that point. Then go down `3` space and right `1` space again. Mark that point. Now draw a straight line through the two points.

graph{y=-3x+6 [-10.78, 9.22, -1.82, 8.19]}