Question

How do you graph `y=-4-4x` using the intercepts?

Answer 1

See explanation graph{-4-4x [-10, 10, -5, 5]}

Explanation:

To find the `x` intercept, we must set `y = 0` and solve for `x`

`0=-4-4x-> 4=-4x->-1=x`

We found that `x=-1` so our `x`-intercept is at `(-1,0)`
Note: The `x`-intercept is where our function crosses the `x`-axis

To find the `y`-intercept, we must set `x=0` and solve for `y`

`y=-4-4(0)->y=-4`

We found that `y=-4` so our `x`-intercept is at `(0,-4)`

Note: The `y`-intercept is where our function crosses the `y`-axis. Also, we didn't have to find the `y`-intercept this way because In any linear function the `y`-intercept is always the constant (or `color(red)b`) in the equation `y=mx+color(red)b`

Now that we have both s our `x` & `y` intercepts we can graph this (see graph).

Note that our slope is `-4` since the slope is the coefficient (or `color(blue)m`) in the equation `y=color(blue)mx+b`

I hope this was helpful and that you understand the topic a little better now!