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determine the slopeand y-intercept of each line then graph it

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1 Answer

You want your problem to look like the slope-intercept form: y=mx+b at the end.

1.Subtract 2x from each side and get -y=-2x-3

2. Divide each side by -1 to make y positive, so y=2x+3

3. 2 is your slope, and 3 is your y-intercept. m=2 and b=3

To graph, start the line with your y-intercept.

1. Plot a dot three units on the positive side of the y-axis (because your y-intercept is a positive number) such that the first point on the line will be (0,3).

2. Slope equals rise over run so count up two units (because the 2 is positive in this equation) and to the right 1 unit (the positive 1 is assumed because 3/1=3. It would NOT be 0, because 3/0=0) from your first point and you will have your next point at (1,5).

3. To make a third point, repeat: count up two units and one to the right from your second point, such that your next point is at (2,7). Draw a straight line to connect the three points and there you have your graph!