there are three ways in which we can solve for slope: slope = rise run 1. use the formula and count...
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There are three ways in which we can solve There are three ways in which we can solve for slope:for slope:
Slope =Slope = RISERUN
1. Use the formula and count the spaces 1. Use the formula and count the spaces on a graph.on a graph.
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There are three ways in which we can solve There are three ways in which we can solve for slope:for slope:
Slope =Slope = y2 - y1
x2 - x1
2. Use the formula when you are giving 2. Use the formula when you are giving two points on a line.two points on a line.
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46
[ 3 - (-1)][ 1 - (-5)]
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There are three ways in which we can solve There are three ways in which we can solve for slope:for slope:3. Use the equation of the line to 3. Use the equation of the line to determine the slope.determine the slope.
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y = x +y = x +73
SlopSlopee
1. You are given the slope and the y-1. You are given the slope and the y-intercept.intercept.
EXAMPLE:EXAMPLE: m = -2, b = m = -2, b = 33
SOLUTION:SOLUTION: Use the slope y-intercept form of Use the slope y-intercept form of the equation of a line.the equation of a line.
y = mx + by = mx + b y = y = -2-2x + x + 33
2. You are given the slope and one 2. You are given the slope and one point on the line.point on the line.
EXAMPLE:EXAMPLE:m = -2, A(-m = -2, A(-1,3)1,3)
SOLUTION:SOLUTION:
Step 1:Step 1:
Find the slopeFind the slope
Step 2: Step 2:
Find the y-Find the y-interceptintercept
Step 3:Step 3:
Write the Write the equationequation
Step 1Step 1: You have the slope: : You have the slope: m = -2m = -2
Step 2Step 2: Find the y -: Find the y -interceptintercept
y = mx + by = mx + b
(3) = (-2)(-1) + b(3) = (-2)(-1) + b
3 = 2 + b3 = 2 + b
3 - 2 = b3 - 2 = b
1 = b1 = b
Step 3Step 3: Find : Find EquationEquation
y = mx + by = mx + b
y = -2x + 1y = -2x + 1
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3. You are given two points on a 3. You are given two points on a line.line.EXAMPLE:EXAMPLE:R(1,4), R(1,4),
S(4,-2)S(4,-2)
SOLUTION:SOLUTION:
(-2 - 4)(4 - 1)
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Slope RS =Slope RS =y2 - y1
x2 - x1
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= -2= -2
Continued next slide
Step 1:Step 1:
Find the slopeFind the slope
Step 2: Step 2:
Find the y-Find the y-interceptintercept
Step 3:Step 3:
Write the Write the equationequation
3. You are given two points on a 3. You are given two points on a line.line.EXAMPLE:EXAMPLE:R(1,4), R(1,4),
S(4,-2)S(4,-2)
SOLUTION:SOLUTION:
y = mx + by = mx + b
(1) =(-2)(4) + (1) =(-2)(4) + bb
1= -8 + b1= -8 + b
1 + 8 = b1 + 8 = b
9 = b9 = b
Find y -interceptFind y -intercept
Step 1:Step 1:
Find the slopeFind the slope
Step 2: Step 2:
Find the y-Find the y-interceptintercept
Step 3:Step 3:
Write the Write the equationequation
Step 3: Find the Step 3: Find the equationequation
y = mx + by = mx + b
y = -2x +9y = -2x +9
CLASS WORK
• Finish Lesson 9(5) worksheet
• Check solutions to Lesson 9(5)
• Copy notes from this lesson.
• Do Lesson 10 worksheet