There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.

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Presentation transcript:

There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323

There are three ways in which we can solve for slope: Slope = y 2 - y 1 x 2 - x 1 2. Use the formula when you are giving two points on a line. = 4646 [ 3 - (-1)] [ 1 - (-5)] = = 2323

There are three ways in which we can solve for slope: 3. Use the equation of the line to determine the slope = 2323 y = x Slope

1. You are given the slope and the y-intercept. EXAMPLE: m = -2, b = 3 SOLUTION: Use the slope y-intercept form of the equation of a line. y = mx + b y = -2x + 3

2. You are given the slope and one point on the line. EXAMPLE: m = -2, A(-1,3) SOLUTION: Step 1: Find the slope Step 2: Find the y-intercept Step 3: Write the equation Step 1: You have the slope: m = -2 Step 2: Find the y -intercept y = mx + b (3) = (-2)(-1) + b 3 = 2 + b = b 1 = b Step 3: Find Equation y = mx + b y = -2x + 1

= 3. You are given two points on a line. EXAMPLE: R(1,4), S(4,-2) SOLUTION: (-2 - 4) (4 - 1) -6 3 Slope RS = y 2 - y 1 x 2 - x 1 = = -2 Continued next slide Step 1: Find the slope Step 2: Find the y-intercept Step 3: Write the equation

3. You are given two points on a line. EXAMPLE: R(1,4), S(4,-2) SOLUTION: y = mx + b (1) =(-2)(4) + b 1= -8 + b = b 9 = b Find y -intercept Step 1: Find the slope Step 2: Find the y-intercept Step 3: Write the equation Step 3: Find the equation y = mx + b y = -2x +9

CLASS WORK Finish Lesson 9(5) worksheet Check solutions to Lesson 9(5) Copy notes from this lesson. Do Lesson 10 worksheet