Question

Graph each equation after plotting at least three points for each one

1) y=-x+10

2) y=-1/2x+4

Answer 1

[(2, 8),(3, 7),(4, 6)]

Graph the equation like normal.

Use the procedures explained below to answer the next question.

Explanation:

To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.

`f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)`

All I did was substitute three different values of x, to get the corresponding values for y.

So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.

As shown in the attached screenshot, the three points that we found are correctly on the graphed line.

Use the same procedures to answer the next question.