Question

How do you find the slope given `y=3x -1`?

Answer 1

Slope: `color(green)(3)`

Explanation:

`y=3x-1`
is in the form known as "slope-intercept" form.

In general the "slope-intercept" form is
`color(white)("XXX")y=color(green)(m)x+color(blue)(b)`
with slope `=color(green)(m)` and y-intercept `=color(blue)(b)`

For the given example we can see that the slope is
`color(white)("XXX")color(green)(m)=color(green)(3)`