chapter 5 review. 5.1 write linear eqns in slope-intercept form example 1 write an equation of the...
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Chapter 5 Review Chapter 5 Review
5.1 Write Linear Eqns in Slope-Intercept Form
5.1 Write Linear Eqns in Slope-Intercept Form
Example 1
Write an equation of the line shown.
Step 1: y = mx + b
Step 2: Find b.
(y-intercept)
b = 4
Step 3: Find m.
(slope = rise/run)
m = -2/3
Step 4: Write equation
y = (-2/3)x + 4
Step 1: y = mx + b
Step 2: Find b.
(y-intercept)
b = 4
Step 3: Find m.
(slope = rise/run)
m = -2/3
Step 4: Write equation
y = (-2/3)x + 4
Assignment: Pg. 345Assignment: Pg. 345
# 4 - 6# 4 - 6
You have a $25 gift card for a bagel shop. A bagel costs $1.25. Write an equation that gives the amount (in dollars) that remains on the card as a function of the total number of bagels you have purchased so far. How much money is on the card after you buy 2 bagels?
T = 25 - 1.25b (b= number of bagels, T = total)
T = 25 - 1.25(2) = $22.50
You have a $25 gift card for a bagel shop. A bagel costs $1.25. Write an equation that gives the amount (in dollars) that remains on the card as a function of the total number of bagels you have purchased so far. How much money is on the card after you buy 2 bagels?
T = 25 - 1.25b (b= number of bagels, T = total)
T = 25 - 1.25(2) = $22.50
5.2Use Linear Equations in Slope-Intercept Form
5.2Use Linear Equations in Slope-Intercept Form
Example 2Write an equation of the line that passes through the point (-2,-6) and
has a slope of 2.Step 1: y = mx + bStep 2: Find b (y-intercept) y = mx + b -6 = 2(-2) + b -6 = -4 + b +4 +4 -2 = bStep 3: Write Equation y = 2x - 2
Example 2Write an equation of the line that passes through the point (-2,-6) and
has a slope of 2.Step 1: y = mx + bStep 2: Find b (y-intercept) y = mx + b -6 = 2(-2) + b -6 = -4 + b +4 +4 -2 = bStep 3: Write Equation y = 2x - 2
Assignment: Pg. 346Assignment: Pg. 346
# 8 - 10# 8 - 10
5.4Write Linear Equations in Standard Form
5.4Write Linear Equations in Standard Form
Example 3
Write an equation in standard form of the line shown.
(-1,1) and m = -2
Example 3
Write an equation in standard form of the line shown.
(-1,1) and m = -2
(-1,1) and m = -2(-1,1) and m = -2
Step 1: y = mx + b
Step 2: Find b
1 = (-2)(-1) + b
1 = 2 + b
-2 -2
-1 = b
Step 3: Write equation
y = -2x - 1
Step 1: y = mx + b
Step 2: Find b
1 = (-2)(-1) + b
1 = 2 + b
-2 -2
-1 = b
Step 3: Write equation
y = -2x - 1
Assignment: Pg. 347Assignment: Pg. 347
# 15 - 16# 15 - 16
5.5Write Equations of Parallel and Perpendicular Lines
5.5Write Equations of Parallel and Perpendicular Lines
Example 4
Write an equation of the line that passes through
(-4,-2) and is perpendicular to the line y = 4x - 7.
Hint: Perpendicular lines have slopes that are the negative reciprocal of each other.
Step 1: Find slope.
y = 4x -7
m = 4, so slope of perpendicular line is - 1/4.
Example 4
Write an equation of the line that passes through
(-4,-2) and is perpendicular to the line y = 4x - 7.
Hint: Perpendicular lines have slopes that are the negative reciprocal of each other.
Step 1: Find slope.
y = 4x -7
m = 4, so slope of perpendicular line is - 1/4.
Write an equation of the line that passes through (-4,-2) and is perpendicular to the line
y = 4x - 7.
Write an equation of the line that passes through (-4,-2) and is perpendicular to the line
y = 4x - 7.
Step 2: Find b.
y = mx + b
-2 = (-1/4)(-4) + b
-2 = 1 + b
-1 -1
-3 = b
Step 3: Write Equation
y = (-1/4)x - 3
Step 2: Find b.
y = mx + b
-2 = (-1/4)(-4) + b
-2 = 1 + b
-1 -1
-3 = b
Step 3: Write Equation
y = (-1/4)x - 3
5.5Write Equations of Parallel and Perpendicular Lines
5.5Write Equations of Parallel and Perpendicular Lines
Example 5
Write an equation of the line that passes through
(-4,-2) and is parallel to the line
y = 4x - 7.
Hint: Parallel lines have the same slopes.
Step 1: Find slope.
y = 4x - 7
m = 4, so the slope of a parallel line is 4.
Example 5
Write an equation of the line that passes through
(-4,-2) and is parallel to the line
y = 4x - 7.
Hint: Parallel lines have the same slopes.
Step 1: Find slope.
y = 4x - 7
m = 4, so the slope of a parallel line is 4.
Write an equation of the line that passes through (-4,-2) and is parallel to the line
y = 4x - 7.
Write an equation of the line that passes through (-4,-2) and is parallel to the line
y = 4x - 7.
Step 2: Find b.
y = mx + b
-2 = 4(-4) + b
-2 = -16 + b
+16 +16
14 = b
Step 3: Write equation.
y = 4x + 14
Step 2: Find b.
y = mx + b
-2 = 4(-4) + b
-2 = -16 + b
+16 +16
14 = b
Step 3: Write equation.
y = 4x + 14
Assignment: Pg. 347Assignment: Pg. 347
# 18 - 20# 18 - 20
5.6Fit a Line of Data
5.6Fit a Line of Data
Example 6The table shows the time needed to roast turkeys of
different weights. Make a scatter plot of the data. Describe the correlation of the data.
Example 6The table shows the time needed to roast turkeys of
different weights. Make a scatter plot of the data. Describe the correlation of the data.
Weight (pounds)
6 8 12 14 18 20 24
Roast time (hours)
2.75 3.00 3.50 4.00 4.25 4.75 5.25
Make a scatter plot of the data. Describe the correlation of the data.
Make a scatter plot of the data. Describe the correlation of the data.
Because the graph rises from left to right, it has a positive correlation
Because the graph rises from left to right, it has a positive correlation
5.6 Fit a Line of Data
5.6 Fit a Line of Data
Step 1: Find the pattern on the data.
- positive correlation - rises from left to right.
- negative correlation - falls from left to right.
- no correlation - no real pattern.
Step 2: Draw line.
half the points above and half the points below.
Step 3: Write equation.
y = mx + b
Step 1: Find the pattern on the data.
- positive correlation - rises from left to right.
- negative correlation - falls from left to right.
- no correlation - no real pattern.
Step 2: Draw line.
half the points above and half the points below.
Step 3: Write equation.
y = mx + b
Assignment: Pg. 348Assignment: Pg. 348
# 21# 21
5.7Predict with Linear Models
5.7Predict with Linear Models
Example 7Use the scatter plot from the example for
Lesson 5.6 above to estimate the time (in hours) it takes to roast a 10 pound turkey.
Step 1: Draw scatter plotStep 2: Draw Line of best fit.Step 3: Find x-coordinate and y-coordinate on
the line.
Example 7Use the scatter plot from the example for
Lesson 5.6 above to estimate the time (in hours) it takes to roast a 10 pound turkey.
Step 1: Draw scatter plotStep 2: Draw Line of best fit.Step 3: Find x-coordinate and y-coordinate on
the line.
Use the scatter plot from the example for Lesson 5.6 above to estimate the time (in hours)
it takes to roast a 10 pound turkey.
Use the scatter plot from the example for Lesson 5.6 above to estimate the time (in hours)
it takes to roast a 10 pound turkey.
It takes about 3.25 hours to cook a 10 pound turkey.
It takes about 3.25 hours to cook a 10 pound turkey.
Assignment: Pg. 348Assignment: Pg. 348
# 22# 22
AssignmentAssignment
Pg. 942 #2-8 even, 22 - 30 evenPg. 942 #2-8 even, 22 - 30 even