How do I graph y=-3x
let x=0, --- > y = 0 ...point (0,0)
let x = 1 ----> y = -3 ... point (1,-3)
plot those two points, join them with a straight line.
To graph the equation y = -3x, you can follow these steps:
Step 1: Choose values for x. Select a few values for x to use as the input for the equation. You can choose any values that you find convenient. For simplicity, we'll use -3, -2, -1, 0, 1, 2, and 3.
Step 2: Use the equation to find the corresponding y-values. Plug each chosen x-value into the equation, one at a time, and solve for y.
For example:
- When x = -3, y = -3 * (-3) = 9
- When x = -2, y = -3 * (-2) = 6
- When x = -1, y = -3 * (-1) = 3
- When x = 0, y = -3 * 0 = 0
- When x = 1, y = -3 * 1 = -3
- When x = 2, y = -3 * 2 = -6
- When x = 3, y = -3 * 3 = -9
Step 3: Plot the points on a graph. Take each (x, y) coordinate pair obtained from Step 2 and plot them on a graph.
Step 4: Connect the points. Once all the points are plotted, you can see that they lie on a straight line. Connect the points with a straight line to represent the graph of the equation y = -3x.
The resulting graph should be a straight line that passes through the origin (0, 0) and has a slope of -3.