When an equation is in slopeintercept form Now

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

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

Given y = ½x + ¾, what is the slope and the y-intercept? m

Given y = ½x + ¾, what is the slope and the y-intercept? m = ½ b = ¾

Given y = ½x – ¾, what is the slope and the y-intercept? m

Given y = ½x – ¾, what is the slope and the y-intercept? m = ½ b = -¾

Given y = -½x – ¾, what is the slope and the y-intercept? m

Given y = -½x – ¾, what is the slope and the y-intercept? m = -½ b = -¾

Write an equation in slope-intercept form for the graph shown below.

Write an equation in slope-intercept form for the graph shown below.

Converting linear equations into Slope-Intercept Form, y = mx + b Our main goal

Converting linear equations into Slope-Intercept Form, y = mx + b Our main goal is to get the y alone on one side of the equation 7 Examples

Example 1 - convert into Slope-Intercept Form (divide both sides by 2 to get

Example 1 - convert into Slope-Intercept Form (divide both sides by 2 to get y alone) 2 (now simplify all fractions) 1 What is the slope? _____ What is the y-intercept? ______

Example 2 – Convert to Slope-Intercept Form -3 y = -9 x – 12

Example 2 – 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 y-intercept? ______

*** Check Your Answer *** -3 y = -9 x – 12 -3 -3

*** 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!!

Example 3: Convert to Slope-Intercept Form 21 x – 7 y =14 -7 y

Example 3: 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 What is the slope? _____ What is the y-intercept? ____

Example 4: Convert to Slope-Intercept Form 2 y + 26 = -6 x Step

Example 4: 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 y-intercept? ______

*** Check Your Answer *** 2 y + 26 = -6 x (subtract both

*** 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!

Example 5: In the standard (x, y) coordinate plane, what is the slope of

Example 5: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 5 x – 4 y = 3?

Example 6: In the standard (x, y) coordinate plane, what is the slope of

Example 6: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4 y = 24?

Example 7: In the standard (x, y) coordinate plane, what is the slope of

Example 7: In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4 x = 16?

Video: Families of Linear Graphs • http: //www. glencoe. com/sites/texas/ student/mathematics/assets/animati on/algebra 1/ALG 1

Video: Families of Linear Graphs • http: //www. glencoe. com/sites/texas/ student/mathematics/assets/animati on/algebra 1/ALG 1 CIM 4 -3. swf