Question

How do you find the slope of a line parallel to the graph of each question y=3x-8?

Answer 1

Parallel lines have the same slope. Think slope as the angle between the line and the x-axis. So it makes sense that the slopes have to be equal.

`y` is the line with a slope of `3`.

The standart form formula is `ax+by=c`.

The slope is: `-a/b`

If you can't remember this, you can calculate the slope by selecting two random points on the line `y`.

`A = (0,-8)`
`B = (1,-5)`

The slope is: `(-8 - (-5))/(0-1) = 3`

So any line with slope `3` is parallel to the line `y` (accept `y` itself, it is called coincident line)

So we can say this:

A line is parallel to another if and only if their slopes are equal.