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

Pick out at least 2 x values, find the resulting y values, plot them on a graph, then use a straight edge to connect them.

When we plot points, we need to find at least 2 x values and the corresponding y value - and then we can use a straight edge to connect the points.

With picking our x points, try to find ones that are easier to calculate. While any x value would be valid (25,657 is just as valid as 1 - they both will have a point on the line), it will be easier to calculate and graph some numbers rather than others.

Plot them out and get:

graph{-3x+2 [-5, 5, -5, 5]}

(each line of the graph paper is each value 1 (so you move 5 lines to the right to get to the 5 on the x axis), and the horizontal line is x while the vertical line is y). Our first point, (0,2), can be found by going 0 spaces across on the x axis and 2 up on the y axis. Our next point, (1,-1), can be found by going 1 to the right on the x axis and 1 down on the y axis.

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To graph the equation y = -3x + 2 by plotting points, you can choose a few values for x, calculate the corresponding y values using the equation, and then plot the points on a coordinate plane. For example, if you choose x = 0, you would have y = -3(0) + 2, which simplifies to y = 2. So one point on the graph would be (0, 2). Similarly, if you choose x = 1, you would have y = -3(1) + 2, which simplifies to y = -1. So another point on the graph would be (1, -1). Continuing this process for a few more values of x will give you additional points that you can plot. After plotting these points, you can draw a straight line through them to represent the graph of y = -3x + 2.

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