Question

How do you plot a point (4, -3) on the line with slope m=0?

Answer 1

See the graph. You would have to mark the point `(4, -3)` on the line `y = -3`

Explanation:

You have a point on the line and its slope. By the Point-Slope form, you may compute the equation of this line.

`(y - y_1) = m(x - x_1)`
`implies (y - (-3)) = 0(x - 4)`
`implies y + 3 = 0`
`implies y = -3`

Thus you must plot the line `y= - 3` and mark(4, -3) on it. Only lines parallel to the x-axis have slope 0. Thus it is a line parallel to the x axis at a distance 3 from it in the negative direction.
graph{y = -3 + 0x [-7.9, 7.9, -3.95, 3.95]}