How do you graph #y=3x-2# by plotting points?

Question

Nathan Axel · Accepted Answer

Plug in a value of x in to the equation. The resulting value is its pair. Have two or three pairs. Plot these points in a Cartesian plane. Connect the points.

Choose any value of x. But, to make it simpler, lets use the values: 0, 1, and 2. With 0, #y = 3*0 -2 = 0 -2# #y = -2# hence, we have the pair: (0,-2) With 1, #y = 3*1 -2 = 3-2# #y = 1# hence, we have the pair: (1,1) With 2, #y = 3*2 -2 = 6-2# #y = 4# hence, we have the pair: (2,4) then we plot these points and connect them and have this: graph{3x-2 [-5, 5, -2.5, 2.5]} \

Kennedy Adams · Answer

undefined To graph $ y = 3x - 2 $ by plotting points:

1. Choose some values for $ x $ (e.g., -2, -1, 0, 1, 2).
2. Substitute each value of $ x $ into the equation to find the corresponding $ y $ values.
3. Plot the points $ (x, y) $ on the coordinate plane.
4. Connect the points with a straight line.

For example:

- When $ x = -2 $, $ y = 3(-2) - 2 = -6 - 2 = -8 $, so the point is (-2, -8).
- When $ x = -1 $, $ y = 3(-1) - 2 = -3 - 2 = -5 $, so the point is (-1, -5).
- When $ x = 0 $, $ y = 3(0) - 2 = 0 - 2 = -2 $, so the point is (0, -2).
- When $ x = 1 $, $ y = 3(1) - 2 = 3 - 2 = 1 $, so the point is (1, 1).
- When $ x = 2 $, $ y = 3(2) - 2 = 6 - 2 = 4 $, so the point is (2, 4).

Plotting these points and connecting them will give you the graph of $ y = 3x - 2 $.