How do you graph #y=3x+4# by plotting points?

Question

Avery Alexander · Accepted Answer

See a solution process below:

First, solve for two points which solve the equation and plot these points: First Point: For #x = 0# #y = (3 * 0) + 4# #y = 0 + 4# #y = 4# or #(0, 4)# First Point: For #x = 1# #y = (3 * 1) + 4# #y = 3 + 4# #y = 7# or #(1, 7)# We can next plot the two points on the coordinate plane: graph{(x^2+(y-4)^2-0.1)((x-1)^2+(y-7)^2-0.1)=0 [-20, 20, -10, 10]} Now, we can draw a straight line through the two points to graph the line: graph{(y - 3x - 4)(x^2+(y-4)^2-0.1)((x-1)^2+(y-7)^2-0.1)=0 [-20, 20, -10, 10]}

Abigail Allen · Answer

undefined To graph the equation y = 3x + 4 by plotting points, you can choose values for x, calculate the corresponding values for y using the equation, and then plot those points on a coordinate plane. Here's how you can do it:

1. Choose a few values for x. For example, you could choose -2, -1, 0, 1, and 2.

2. Substitute each value of x into the equation y = 3x + 4 to find the corresponding values for y.

For x = -2: y = 3(-2) + 4 = -6 + 4 = -2
   For x = -1: y = 3(-1) + 4 = -3 + 4 = 1
   For x = 0:  y = 3(0) + 4 = 0 + 4 = 4
   For x = 1:  y = 3(1) + 4 = 3 + 4 = 7
   For x = 2:  y = 3(2) + 4 = 6 + 4 = 10

3. Plot the points (-2, -2), (-1, 1), (0, 4), (1, 7), and (2, 10) on a coordinate plane.

4. Connect the points with a straight line to graph the equation y = 3x + 4.

That's it! You have graphed the equation y = 3x + 4 by plotting points.