Download presentation
Presentation is loading. Please wait.
1
13.4 – Slope and Rate of Change Slope is a rate of change.
2
13.4 – Slope and Rate of Change
4
Slope of any Vertical Line 13.4 – Slope and Rate of Change
5
Slope of any Horizontal Line 13.4 – Slope and Rate of Change
6
Find the slope of the line defined by: 13.4 – Slope and Rate of Change
7
If a linear equation is solved for y, the coefficient of the x represents the slope of the line. Alternative Method to find the slope of a line 13.4 – Slope and Rate of Change
8
If a linear equation is solved for y, the coefficient of the x represents the slope of the line. 13.4 – Slope and Rate of Change
9
Parallel Lines are two or more lines with the same slope. These two lines are parallel. 13.4 – Slope and Rate of Change
10
Perpendicular Lines exist if the product of their slopes is –1. These two lines are perpendicular. 13.4 – Slope and Rate of Change
11
Are the following lines parallel, perpendicular or neither? NEITHER 13.4 – Slope and Rate of Change
12
These two lines are perpendicular. Are the following lines parallel, perpendicular or neither? 13.4 – Slope and Rate of Change
13
For every twenty horizontal feet a road rises 3 feet. What is the grade of the road? 13.4 – Slope and Rate of Change
14
The pitch of a roof is a slope. It is calculated by using the vertical rise and the horizontal run. If a run rises 7 feet for every 10 feet of horizontal distance, what is the pitch of the roof? 13.4 – Slope and Rate of Change
16
13.5 – Equations of Lines Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of lineb = y-intercept
17
Slope-Intercept Form: m = slope of lineb = y-intercept 13.5 – Equations of Lines
18
Slope-Intercept Form: m = slope of lineb = y-intercept 13.5 – Equations of Lines
19
Slope-Intercept Form: m = slope of lineb = y-intercept 13.5 – Equations of Lines
20
Write an equation of a line given the slope and the y-intercept. 13.5 – Equations of Lines
21
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line. 13.5 – Equations of Lines
22
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line. 13.5 – Equations of Lines
23
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line. 13.5 – Equations of Lines
24
Writing an Equation Given Two Points 1. Calculate the slope of the line. 2. Select the form of the equation. a. Standard form b. Slope-intercept form c. Point-slope form 3. Substitute and/or solve for the selected form. 13.5 – Equations of Lines
25
Writing an Equation Given Two Points or Given the two ordered pairs, write the equation of the line using all three forms. Calculate the slope. 13.5 – Equations of Lines
26
Writing an Equation Given Two Points Point-slope form 13.5 – Equations of Lines
27
Writing an Equation Given Two Points Slope-intercept form 13.5 – Equations of Lines
28
Writing an Equation Given Two Points Standard form LCD: 4 13.5 – Equations of Lines
29
Solving Problems The pool Entertainment company learned that by pricing a pool toy at $10, local sales will reach 200 a week. Lowering the price to $9 will cause sales to rise to 250 a week. a. Assume that the relationship between sales price and number of toys sold is linear. Write an equation that describes the relationship in slope-intercept form. Use ordered pairs of the form (sales price, number sold). b. Predict the weekly sales of the toy if the price is $7.50. 13.5 – Equations of Lines
30
Solving Problems 13.5 – Equations of Lines
31
Solving Problems Predict the weekly sales of the toy if the price is $7.50. 13.5 – Equations of Lines
Similar presentations
