Question

I'm in desperate need of help! I'm young and it quite advanced math classes.... so you can see why I am having issues.

Answer 1

The slope m of a linear equation is given by

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

where (x_1, y_1) and (x_2, y_2) are two points on a line.

Now, to find the slope, we choose any two points from the table and put them into the above formula.

Let us choose the first point

`(x_1,y_1)=(-2,3)`

and the second point

`(x_2,y_2)=(0,7)`

The slope, therefore, is

`m=\frac{3_{}-7_{}}{-2-0}`
`\begin{gathered} m=-(4)/(-2) \\ m=2 \end{gathered}`

Therefore, the slope of the line is m = 2.

The y-intercept of the line is where the line intersects the y- axis. This happens when x =0. Now, from the table we have the ordered pair (0, 7); therefore, the y-intercept is 7.