SOLUTION: Graph this equation below using the indicated method. y = -2/3x + 4

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Question 147913: Graph this equation below using the indicated method.
y = -2/3x + 4
Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!
Start with an empty graph. is already in y=mx+b form. b is where you start on the y axis with your line, in this case 4. plot one point on (0,4). -2/3 is the slope. This is also known as rise over run. -2 is the change of the y axis, and 3 is the change on the x axis. It can also be that 2 is the change on the y axis and -3 is the change on the x axis. It doesn't matter, same line.

To plot the line, just start at (0,4), the point you've already plotted, and move in one of these two directions:

--to the right 3 and down 2 (over and over to plot points) or
--to the left 3 and up 2 (over and over to plot points)

When you are done, your graph should look like this:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/2 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/3 = 4.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+4.
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