Question

Graph the following equation on the coordinate plane.
y = -3x + 8

Answer 1

See the picture below

Explanation:

To graph this linear function, you need two things: slope and y-intercept.

y-intercept:

This is where the line crosses the x axis. It will cross when x = 0. (0,b). The b is the y-intercept. You see this in the equation at the end. In this case the y-intercept it 8.

Slope:

This is the change in y over the change in x. On the graph I highlighted two points (0,8) and (1,5). If you start at (0,8) and go to (1,5), you go straight down 3 units and 1 unit right. This is your slope. Going down is a negative direction and going right is a positive direction. The slope would be the change in y over the change in x.
`(-3)/(1)` which simplified would be -3. The slope is -3.

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