Question

How do you find the slope parallel to `-5x + y = -3`?

Answer 1

Add `5x` to both sides to get:

`y = 5x + (-3)`

which is slope-intercept form, hence slope is `5`

Any parallel line will have the same slope.

Explanation:

Given `-5x+y = -3`

Add `5x` to both sides to get:

`y = 5x+(-3)`

This is in slope-intercept form, being in the form:

`y = mx + c`

where `m=5` is the slope and `c = -3` is the intercept (the `y` coordinate of the intersection of the line with the `y` axis.

Any line parallel to this will have the same slope, `5` (just a different value of `c`).

Any line perpendicular to it will have slope `-1/m = -1/5`