Question

How do you find the slope and intercept of `y=3x-2`?

Answer 1

y-intercept is the constant -2
Slope is the coefficient of `x` which is 3

Explanation:

consider the standard form `y=mx+c` where m is the slope (gradient).

Comparing to `y=3x-2` we find by that the slope `m = 3`

The y-intercept is when the graph crosses the y-axis. The y axis is at `x=0` so we substitute `x=0` and we get:

`y=3(0)-2`

`y=-2`

So the y-intercept is the constant - 2