Slope-Intercept Form – Converting to Slope-Intercept Form and Graphing

Converting to Slope-Intercept Form

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Students learn to convert a linear equation to slope-intercept, or y = mx + b form, by getting y by itself on the left side of the equation. For example, to convert the equation x – 3y = -12 to y = mx + b form, the first step is to subtract x from both sides to get –3y = -x – 12. Notice that the x term is positioned before the number on the right side of the equation so that the equation will eventually match up with y = mx + b form. Next, divide both sides by –3 to get y = 1/3 x + 4. Now the problem is in y = mx + b form, with m = 1/3 and b = 4, and the line can be graphed using the slope and y-intercept.
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