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=(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=(0-2)/(8-0) \\ =-(2)/(8) \\ =-(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=-(1)/(4)x+2`