Question

I need to graph the line with slope 4 and y-intercept -4

Answer 1

The equation of a line in the slope-intercept form is:

`y=mx+b`

Where m is the slope and b is the y-intercept. These values are given, then the equation of the line is:

`y=4x-4`

To graph it, we need to know the coordinates of at least two points on the line.

Whan x=0, then y is:

`\begin{gathered} y=4\cdot0-4 \\ y=0-4 \\ y=-4 \end{gathered}`

Thus, the first point is (0,-4).

When x=1, then y is:

`\begin{gathered} y=4\cdot1-4 \\ y=4-4 \\ y=0 \end{gathered}`

The second point on the line is (1,0).

If we draw these points in the coordinate plane, we can draw a line that passes through them, and this will be the graph of the line.

It looks like this: