# converting between standard form and slope-intercept form graphing unit

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Converting betweenStandard formand Slope-Intercept formGraphing Unit

Slope-Intercept Formula

This formula will be used to ___________and _____________ linear equations.To be able to use this formula, the equation you are graphing must be in this format!! This means to ______________________________________.writegraphSolve for y

Slope-Intercept Formy = mx + bx and y have to be on opposite sides of equationSTEPS TO SOLVE FOR YAdd/Subtract the term that is on the same side of the equation with yDivide by the number in front of y

Example 1 & 2 Write in slope-intercept formYou tryit

Standard Form

x and y have to be on same side of equationA cant be negative (AM sometimes breaks this rule)There cant be any fractions STEPS MULTIPLY BY LCDMOVE X AND Y TO SAME SIDEMAKE SURE X IS NOT NEGATIVE (Divide BY -1)Ax + By = C

Example 3 Write in standard formMultiMultiplyDivideMultiplyx and Y onSame sideNo negativesIn frontDivide

Example 4 Write in standard formMultiMultiplyDivideDivideMultiplyx and Y onSame sideNo negativesIn front

Example 5 Write in standard formMultiMultiplyDivideDivideMultiplyx and Y onSame sideNo negativesIn front

Example 6 Write in standard formMultiMultiplyDivideDivideMultiplyx and Y onSame side

Example 7 Write in standard formMultiMultiplyDivideMultiplyx and Y onSame side

Example 8 Write in standard formMultiMultiplyDivideMultiplyx and Y onSame sideNo negativesIn front

Now lets use the formula to WRITE an equation.m = 3, b = 1Write an equation in slope-intercept form when given the slope and the y-intercept.Simply replace the m and the b in the formula with the numbers and you have an equation.

Write an equation in slope-intercept form when given the slope and the y-intercept.m = -3, b = 5m = , b = 1m = 0, b = 7m = 4, b = -2Writing Slope-Intercept Equations - Examples

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