+ Lesson 5.1 Writing Linear Equations in Slope-Intercept Form (Function Form)

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+ Lesson 5.1 Writing Linear Equations in Slope-Intercept Form (Function Form)

+ Writing Linear Equations given slope and y-intercept The first way to write these is when given the slope (m) and the y-intercept (b). In order to do this, we must recall our Slope-Intercept Form: y = mx + b From Slope-Intercept, all we must do is fill in the given slope and the given y-intercept.

+ EXAMPLES y = mx + b 1.) Write an equation of the line with a slope of -4 and a y- intercept of 6. Answer: y = -4x ) Write an equation for the following: slope = 8; y-intercept = -5 Answer: y = 8x - 5

+ Writing an Equation Given 2 Points Step 1: Calculate the slope, using the formula: y 2 – y 1 x 2 – x 1 Step 2: Write an equation of the line. The line crosses the y- axis at ____. So, the y-intercept is ___. From here, fill in the blanks: y = ___x + ___

+ Writing an Equation Given 2 Points Points: (0, 4), (3, -2) Step 1: Calculate the slope, using the formula: -2 – 4 = -6 3 – 0 = 3 This reduces to -2. Slope is -2. Step 2: Write an equation of the line. The line crosses the y-axis at 4. So, the y-intercept is +4. From here, fill in the blanks: y = -2x + 4

+ Another Example Points: (0, -6), (5, -3) Step 1: Calculate the slope, using the formula: -3 – -6 = 3 5 – 0 = 5 Slope is 3/5. Step 2: Write an equation of the line. The line crosses the y-axis at -6. So, the y-intercept is -6. From here, fill in the blanks: y = 3/5x – 6

+ Troubles/Questions If students have troubles/Questions, they may borrow a textbook to read and look over pgs in the text on 5.1. Books should be located in Mrs. Dorsey’s room (#39) if these are needed.