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

$m=\frac{y_1-y_2}{x_1-x_2}$

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=-\frac{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.