 # Writing linear equations in Slope-Intercept Form It’s easier than you think…

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Writing linear equations in Slope-Intercept Form It’s easier than you think…

Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation

When an equation is in slope-intercept form: What is the slope? ____________ Now look at the equation below…… What is the y-intercept? ____________

Step 1: Look at the y-intercept and plot where the graphs cross the “y” axis. Now look at the graph of the line. Step 2: Use the slope (rise/run) to determine the next point and plot. Step 3: Draw a line through both points. Be sure to extend pass point and put arrow at both ends.

5y = 10x + 15 Convert to Slope-Intercept Form: (divide both sides by 5 to get y alone) (now simplify all fractions) y = 2x + 3 Slope: _______ Y-Intercept: ______ 2 3

Step 1: Look at the y-intercept and plot where the graphs cross the “y” axis. Step 2: Use the slope (rise/run) to determine the next point and plot. Step 3: Draw a line through both points. Be sure to extend pass point and put arrow at both ends. Y = 2x + 3 Slope = 2 Y-Intercept = 3

2 Minute YOYO -3y = -9x - 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b What is the slope? ____________ What is the intercept? ____________

*** Check Your Answer *** -3y = -9x - 12 (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3x + 4 -3 -3y = -9x - 12 -3 -3 -3 Slope = 3 Intercept = 4

2 Minute YOYO 21x – 7y =14 Convert to Slope-Intercept Form: (subtract both sides by 21x) -7y = -21x + 14 (now divide both sides by -7) y = 3x – 2 (simplify all fractions)

Summary Slope = Rise over Run that determines the steepness of a line Y – Intercept = Where the line crosses the y-axis Slope Intercept Form = Y = mx + b

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