Question

Graph the line that has an x-intercept at ( 2,0 ) and a y-intercept at (0,−5). What is the slope of this line?M=?

Answer 1

The plot of the line is:

And the slope of the line is:

`m=(5)/(2)`

Explanation:

To plot the line, simply put points (2,0) and (0, -5) on the plane and then draw a line that goes through both points.

To calculate the slope, we use the formula:

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

Where points

`\begin{gathered} (x_1,y_1) \\ (x_2,y_2) \end{gathered}`

Are two points that belong to the line.

Using this formula and the points given, we'll have that:

`m=(-5-0)/(0-2)\rightarrow m=(5)/(2)`