Slope

Vocabulary Find and use the slope of a line. Graph parallel and perpendicular lines. 1) slope 2) rate of change Slope

Find and use the slope of a line.

Graph parallel and perpendicular lines.

If the pilot doesn’t change something, he / she will not make it home for Christmas. Would you agree?

Consider the options: 1) Keep the same slope of his / her path.

Consider the options: 1) Keep the same slope of his / her path.

Consider the options: 1) Keep the same slope of his / her path. Not a good choice!

Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.

Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up.

Consider the options: 1) Keep the same slope of his / her path. Not a good choice! 2) Go straight up. Not possible! This is an airplane, not a helicopter.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

Fortunately, there is a way to measure a proper “ slope ” to clear the obstacle. We measure the “ change in height ” required and divide that by the “ horizontal change ” required.

y x 10000 10000 0 0

FINDING THE SLOPE OF A LINE Slope x y

FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is

FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is

FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is

FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is

FINDING THE SLOPE OF A LINE Slope x y The slope m of the non-vertical line passing through the points and is

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. Slope y x (1, 1) (3, 6)

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)

The slope m of a non-vertical line is the number of units the line rises or falls for each unit of horizontal change from left to right. run = 3 - 1 = 2 units rise = 6 - 1 = 5 units Slope y x (1, 1) (3, 6)

Slope Find the slope of the line. y x (2, 3) (8, 8)

Slope Find the slope of the line. y x (2, 3) (8, 8)

Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)

Slope Find the slope of the line. run = 8 - 2 = 6 units rise = 8 - 3 = 5 units y x (2, 3) (8, 8)

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8

Plot the points (-4, 7) and (4, -1) and draw a line through them. Find the slope of the line passing through the points. Negative slope: Falls from left to right Slope y x 10 0 -5 -5 5 -5 10 -5 0 5 -8 8

Graph the line passing through point (1, 1) with a slope of 2. Slope y x

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). Slope y x 2) Follow the slope of to locate another point on the line.

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.

Graph the line passing through point (1, 1) with a slope of 2. 1) Graph the point (1, 1). 3) Draw the line, connecting the two points. Slope y x 2) Follow the slope of to locate another point on the line.

y x If the line rises to the right, then the slope is positive. Slope

y x If the line rises to the right, then the slope is positive. Slope

y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.

y x If the line rises to the right, then the slope is positive. Slope y x If the line falls to the right, then the slope is negative.

Slope y x If the line is horizontal, then the slope is zero.

Slope y x If the line is horizontal, then the slope is zero.

Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.

Slope y x If the line is horizontal, then the slope is zero. y x If the line is vertical, then the slope is undefined.

Slope In a plane, nonvertical lines _________________ are parallel . y x

Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x

Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x

Slope In a plane, nonvertical lines _________________ are parallel . with the same slope y x

In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. Slope y x

In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x

In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x

In a plane, nonvertical lines are perpendicular if and only if their slopes are _________________. negative reciprocal Slope y x

Slope End of Lesson

Credits PowerPoint created by Using Glencoe’s Algebra 2 text, © 2005 Robert Fant http://robertfant.com