Question

Ау 10- 8- 6 2. X х -10 -8 -6 -4 -2 2 4 6 8 10 -24 -4- -6- -10

Answer 1

The equation of a line in slope intercept form is:

$y=mx+b$

where m is the slope and b is the y intercept.

In this case we notice that the y-intercept is 2, this means that b=2.

To find the slope we need to use the formula:

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

using the points (0,2) and (8,0). We have that the slope is:

$\begin{gathered} m=\frac{0-2}{8-0} \\ =-\frac{2}{8} \\ =-\frac{1}{4} \end{gathered}$

Now we plug the values for the slope and the intercept in the equation, therefore the equation we are looking for is:

$y=-\frac{1}{4}x+2$