Question

What is the slope of a line parallel to y=-4x+7?

Answer 1

The slope will be `-4`.

Explanation:

Your equation is in the Slope-Intercept form:
`y=mx+c`
where `m` is the slope; in your case slope is `m=-4`.
The parallel must have the same slope, i.e., `-4`.

Answer 2

`m = 1/4`

Explanation:

This equation is in the form `y = mx + c`

The gradient is -4.

Perpendicular gradients are negative reciprocals of each other.

`m_1 xx m__2 =-1`

The negative reciprocal of -4 is `1/4`
This is the required gradient.

Check: `-4 xx 1/4 = -1`