Question

A line is drawn so that it passes through the points (-4, 0) and (2, 6). What is theslope of the line?

Answer 1

The Slope of a Line

Suppose we have a couple of points with coordinates (x1,y1) and (x2,y2). If we draw a line that passes through them, the slope of that line can be calculated as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Basically, we subtract the y-coordinates, we subtract the x-coordinates (in the same order) and then we divide both results.

We are given the points (-4,0) and (2,6). Substituting into the formula:

`m=(6-0)/(2-(-4))`

Operating:

`\begin{gathered} m=(6)/(2+4) \\ m=(6)/(6) \\ m=1 \end{gathered}`

The slope of the line is m=1