Research Paper On Slope
Section 2.4
More on Slope
1
Section 2.4 More on Slope
Parallel and Perpendicular Lines
2
Section 2.4 More on Slope
y = 2x+7
3
Section 2.4 More on Slope
Parallel Lines
Find a line parallel to - x 6 y 8 and passing through (-2,3).
-x 6 y 8
Solve for y
6y x 8
1
4
1
y x
Use the slope
6
3
6
1 y 3 ( x 2)
Substitute into the point-slope form
6
1
1
y 3 x
6
3
1
1 y x 3
6
3
1
10 y x
6
3
4
Section 2.4 More on Slope
Example
Write the equation in slope-intercept form for a line that is parallel to 3x - 4y = 12 and passing through
(5,2).
5
Section 2.4 More on Slope
6
Section 2.4 More on Slope
Perpendicular Lines
Find a line perpendicular to - x 6 y 8 and passing through (-2, 3).
-x 6 y 8
Solve for y
6y …show more content…
What does this slope represent?
x
x years after 1997
The percent of US adult cigarette smokers is decreasing by .52 percent each year. The change is consistent each year.
11
Section 2.4 More on Slope
The Average Rate of Change of a Function
12
Section 2.4 More on Slope
13
Section 2.4 More on Slope
The Average Rate of Change of a
Function
If the graph of a function is not a straight line, the average rate of change between any two points is the slope of the line containing the two points. This line is called a secant line. y
( x2 , f ( x2 ))
f ( x2 ) f ( x1 ) x2 x1
Secant line
( x1, f ( x1))
x
14
Section 2.4 More on Slope
Find the equation of the line that is parallel to 3x - 5 y 8 and passes through the point (4,-5).
(a)
(b)
(c)
(d)
3
7
y x
5
5
3
y x9
5
5
7
y - x
3
5
3
37 y x
5
5
15
Section 2.4 More on Slope
Find the equation of the line that is perpendicular to 8 x - 3 y 6 and passes through (-1,3).
(a)
(b)
(c)
(d)
3 y x6
8
8
21
y - x
3
8
3
21 y - x
8
8
8
y - x6
3
16
Section 2.4 More on
More on Slope
1
Section 2.4 More on Slope
Parallel and Perpendicular Lines
2
Section 2.4 More on Slope
y = 2x+7
3
Section 2.4 More on Slope
Parallel Lines
Find a line parallel to - x 6 y 8 and passing through (-2,3).
-x 6 y 8
Solve for y
6y x 8
1
4
1
y x
Use the slope
6
3
6
1 y 3 ( x 2)
Substitute into the point-slope form
6
1
1
y 3 x
6
3
1
1 y x 3
6
3
1
10 y x
6
3
4
Section 2.4 More on Slope
Example
Write the equation in slope-intercept form for a line that is parallel to 3x - 4y = 12 and passing through
(5,2).
5
Section 2.4 More on Slope
6
Section 2.4 More on Slope
Perpendicular Lines
Find a line perpendicular to - x 6 y 8 and passing through (-2, 3).
-x 6 y 8
Solve for y
6y …show more content…
What does this slope represent?
x
x years after 1997
The percent of US adult cigarette smokers is decreasing by .52 percent each year. The change is consistent each year.
11
Section 2.4 More on Slope
The Average Rate of Change of a Function
12
Section 2.4 More on Slope
13
Section 2.4 More on Slope
The Average Rate of Change of a
Function
If the graph of a function is not a straight line, the average rate of change between any two points is the slope of the line containing the two points. This line is called a secant line. y
( x2 , f ( x2 ))
f ( x2 ) f ( x1 ) x2 x1
Secant line
( x1, f ( x1))
x
14
Section 2.4 More on Slope
Find the equation of the line that is parallel to 3x - 5 y 8 and passes through the point (4,-5).
(a)
(b)
(c)
(d)
3
7
y x
5
5
3
y x9
5
5
7
y - x
3
5
3
37 y x
5
5
15
Section 2.4 More on Slope
Find the equation of the line that is perpendicular to 8 x - 3 y 6 and passes through (-1,3).
(a)
(b)
(c)
(d)
3 y x6
8
8
21
y - x
3
8
3
21 y - x
8
8
8
y - x6
3
16
Section 2.4 More on