Practice converting linear equations into Slope Intercept Form

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) 2 (now simplify all fractions) 1

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

Now look at the graph of the line. 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.

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

*** Now Try this Convert to Slope-Intercept Form *** -3 y = -9 x - 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 *** -3 y = -9 x - 12 -3 -3 -3 (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3 x + 4 Slope = 3 Intercept = 4 Wow, you’re good at this!!

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

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

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