# SOLUTION: How do you Graph using slope-intercept form?

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 Question 22034: How do you Graph using slope-intercept form? Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!If the equation is given in the form y = mx + b, then the constant term, which is b, is the y intercept, and the coefficient of x, which is m, is the slope of the straight line. The easiest way to graph such a line, is to plot the y-intercept first. Then, write the slope m in the form of a fraction, like rise over run, and from the y-intercept, count up (or down) for the rise, over (right or left) for the run, and put the next point. Then connect the two points and this is your line. A couple of examples might be helpful. EXAMPLE 1: y = 3x + 2 SOLUTION: Y-intercept = 2, slope = Start by graphing the y-intercept by going up 2 units on the y-axis. From this point go UP (rise) another 3 units, then 1 unit to the RIGHT (run), and put another point. This is the second point. Connect the points and it should look like this: EXAMPLE 2: y = -3x + 2 SOLUTION: Y-intercept = 2, slope = Start by graphing the y-intercept by going up 2 units on the y-axis. From this point go DOWN (rise) 3 units, then 1 unit to the RIGHT (run), and put another point. This is the second point. Connect the points and it should look like this: EXAMPLE 3: y = x + 2 SOLUTION: Y-intercept = 2, slope = Start by graphing the y-intercept by going up 2 units on the y-axis. From this point go UP (rise) another 3 units, then 5 unit to the RIGHT (run), and put another point. This is the second point. Connect the points and it should look like this: EXAMPLE 4: y = x + 5 SOLUTION: Y-intercept = 5, slope = Start by graphing the y-intercept by going up 5 units on the y-axis. From this point go DOWN (rise) 3 units, then 5 unit to the RIGHT (run), and put another point. This is the second point. Connect the points and it should look like this: EXAMPLE 5: y = x -6 SOLUTION: Y-intercept = -6, slope = Start by graphing the y-intercept by going down 6 units on the y-axis. From this point go UP (rise) another 3 units, then 2 unit to the RIGHT (run), and put another point. This is the second point. Connect the points and it should look like this: