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Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Section 6.3 Investigation
Section 6.4 Slope intercept form of a linear function
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Discussion from investigation
(i) Compare the slope of each line with its equation. What do you notice?
(ii) Compare the yintercept of each line with its equation. What do you notice?
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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The equation of a linear function can be written in the form y = mx + b, where m is the slope of the line and b is the yintercept.
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Example #1
Write the linear equation in slope intercept form given the following: Type 1: Given slope and yintercept
a) Having slope and a yintercept of 4.
b) Having slope 7 and a yintercept of 3
Writing equation in slope intercept form!
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Type 2: Given Slope and Another pointc) Having a slope of 2 and an xintercept of 3.
d) With a slope of 3 and passing through the point (5, 2)
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Type 3: Given two pointse) Passing through the points (4,2) and (1,3)
f) Passing through the points (1, 3) and (4, 6)
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Example #2 (a) Graph the linear function with equation:
STEPS
• Identify the y-intercept ______
Plot this point on the grid
• Identify the slope _______
• Start at the y-intercept and use the slope to determine 2 other points
• Using a ruler, draw a line through the points.
b) Graph the linear function with equation:
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Example #3 (a) Write an equation to describe this function. Verify the equation.
STEPS
• Identify the y-intercept _____ This is b in the equation.
• Identify the slope _____ This is m in the equation.
• Using the formula y = mx + b Substitute the y-intercept in for b and slope in for m.
Solution:
(b) Write an equation to describe this function. Verify the equation.
Solution:
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Example #4 (a) The student council sponsored a dance. A ticket cost $5 and the cost of the DJ was $300.
A) Write an equation for the profit, P dollars, on the sale of t tickets.
B) Suppose 123 people bought tickets. What was the profit?
C) Suppose the profit was $350. How many people bought tickets?
D) Could the profit be exactly $146? Justify the answer.
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Example #5 To join the local gym, Karim pays a start p fee of $99, plus a monthly fee of $29.
A) Write an equation for the total cost, C dollars, for n months at the gym.
B) Suppose Karim went to the gym for 23 months. What was the total cost?
C) Suppose the total cost was $505. For how many months did Karim us the gym?
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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Complete Pages 362 – 363 #’s 4, 5, 6, 7 abcd, 8, 14, 16, 17
Section 6.3 and 6.4 SlopeIntercept Formsoln.notebook
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