Answer:
You first plot the point (0,2), then when the x-value of the graph increases by 3, decrease the y-value of the graph by 1, and when the x-value o the graph decreases by 3, increase the y-value of the graph by 1.
Step-by-step explanation:
The equation would be [tex]y = -\frac{1}{3}x+2[/tex]. To graph it, you first need to find the y-intercept, which is the coordinate on the line when the x-value equals 0. If x = 0, [tex]y = -\frac{1}{3}x+2[/tex] would become [tex]y = 2[/tex] since anything multiplied by 0 would become 0. Now you've located the y-intercept, which is (0, 2). The slope of a line is the coefficient of the variable x. Since the slope is a negative number, the line will go downwards as it increases its x-value and goes upward as it decreases its x-value. A slope of [tex]-\frac{1}{3}[/tex] would mean that when the x-value increases by 3, the line's y-value will decrease by 1. And when the x-value decreases by 3, the line's y-value will increase by 1. An x-value increase of 6 would be a decrease of 2, and so on. Two other obvious points on the line would be (6,0) and (3, 1).
