Question

How do you find the slope and intercept of `y=3x+4`?

Answer 1

Slope: `3`
y-intercept: `4`
x-intercept: `(-4/3)`

Explanation:

Any linear equation in the form
`color(white)("XXX")y=mx+b`
is said to be in slope-intercept form with slope `m` and y-intercept `b`

`y=3x+4` is in this form
So the slope is `3` and the y-intercept is `4`

To find the x-intercept, set `y=0` and solve for `x`
`color(white)("XXX")0=3x+4`

`color(white)("XXX")-3x=4`

`color(white)("XXX")x=-4/3`