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

My teacher taught me that when y is alone on one side of the equation and x is on the other side of the equation. The number multiplied by x is the slope. For this question, x multiplied by negative one is negative x. So negative one is the slope of the equation. The other number that you see, in this case two, is the y-intercept, or what the y coordinate is when x is 0.

To graph the equation y = -x + 2 by plotting points, you can choose a few values for x, calculate the corresponding values for y using the equation, and then plot those points on a coordinate plane. For example:

When x = 0, y = -0 + 2 = 2 When x = 1, y = -1 + 2 = 1 When x = 2, y = -2 + 2 = 0

Plotting these points (0, 2), (1, 1), and (2, 0) on the coordinate plane and drawing a straight line passing through them will give you the graph of y = -x + 2.