Practice converting linear equations into Slope- Intercept Form It’s easier than you think…

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Presentation transcript:

Practice converting linear equations into 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

Convert Into Slope-Intercept Form (divide both sides by 2 to get y alone) (now simplify all fractions) 21

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

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

*** Now Try this Convert to Slope-Intercept Form *** -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 y = -9x Slope = 3 Intercept = 4 Wow, you’re good at this!!

*** medium *** 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)

2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions *** Now Try this Convert to Slope- Intercept Form *** What is the slope? ____________ What is the intercept? ____________

2y + 26 = -6x (subtract both sides by 26) 2y = -6x - 26 (now divide both sides by 2 y = -3x - 13 (simplify all fractions) You are a math wizard! *** Check Your Answer ***