# FINDING THE SLOPE FROM 2 POINTS Day 91

FINDING THE SLOPE FROM 2 POINTS Day 91 Learning Target: Students can find the slope of a line from 2 given points.

Linear equations have constant slope (or constant rate of change). For a line on the coordinate plane, slope is the following ratio: vertical change change in y = horizontal change change in x This ratio is often referred to as rise, or rise

run over run, where rise indicates the number of units moved up or down and run indicates the number of units moved to the left or right. Slope can be positive, negative, zero, or undefined. A line with positive slope goes up from left to right. A line with negative slope goes down from left to right. Zero Slope

Positive Slope Negative Slope Undefined Slope If you know any two points on a line, you can find the slope of the

line without graphing. The slope of a line through the points (x1, y1) and (x2, y2) is as follows: y2 y1 x2 x1 Slope from 2 points Steps: LABEL, WRITE, PLUG AND CHUG!!

1. 2. 3. 4. Label points Write the slope formula Plug the numbers in the formula Chug out the answers

Find the slope of the line that passes through (2, 3) and (4, 6). Let (x1, y1) be (2, 3) and (x2, y2) be (4, 6). y2 y1 6 (3) = x2 x1 4 (2) 3

=9 = 6 2 Substitute 6 for y2, 3 for y1, 4 for x2, and 2 for x1. The slope of the line that passes through ( 2, 3) and (4, 6) is . 3

2 Find the slope of the line that passes through (4, 6) and (2, -3). Let (x1, y1) be (4, 6) and (x2, y2) be (2, 3). y2 y1 3 (6) = x2 x1

2 (4) 3 =9 = 6 2 Substitute 3 for y2, 6 for y1, 2 for x2, and 4 for x1.

The slope of the line that passes through ( 4, 6) and (2, 3) is . 3 2 Nonlinear equations have variable rates of change. This means that the rate of change is different between values. This is shown in a graph by a curved line.

(NONLINEAR) (LINEAR) (NONLINEAR) (NONLINEAR) (NONLINEAR)

(LINEAR) Find the slope of the line passing through each pair of points. 1. (4, 3) and (1, 1) 2 5

2. (1, 5) and (4, 2) 3 5 Ticket Out The Door Draw and label the different types of slope What is the slope formula?

Find the slope from the points (1,7) and (11,12)

## Recently Viewed Presentations

• Control Systems in Plants Plant Hormones Coordinates growth Coordinates development Coordinates responses to environmental stimuli Plant Hormones Auxin (IAA) Cytokinins Gibberllins Abscisic Acid Ethylene Oligogaccharins Brassinosteroids Auxins Stimulates stem elongation Stimulates root growth Stimulates differentiation and branching Stimulates development of...
• 01 recl. por < 500 unid. 0. 2. Índice de segurança do . trabalho. Índice medido pelo número de acidentes no trabalho ocorridos no período. Pode-se ainda incluir o número de acidentes sem afastamento do trabalho, mas também geradores de...
• Sensation Sensation= 1) activation of our senses (eyes, ears etc) 2) Physical energy encoded in neural signals 3) handout Perception How is the information organized? Defined= 1) Process of understanding sensation 2) Perception enables us to derive meaning from sensory...
• And most, if not all by now, of the largest super computers have GPU nodes. Point being: GPU's are not just a thing that makes video games fast anymore. They are a different type of processor that turns up everywhere....
• ITQ 2009 at Bilston Resource Centre Information Technology NVQ 2009 Use the ARROW keys to move to next slide
• On-Line Business Data Mining. David L. Olson. University of Nebraska-Lincoln. Current demand. Our programs. New World Order. Innovation. 11th INFORMS Workshop on Data Mining & Decision Analytics 2016 Nashville
• Unpacking Embedded Assessment #1 Unit 3 Changing Perspectives. Embedded Assessment 1: Researching and Debating a Controversy. Provide evidence of research (gathering evidence, forming questions, refocusing inquiry, and evaluating sources).
• Judicial information refers to correspondence, electronic communications, memorandums and research notes which are created by a Judge of the Supreme Court of Canada (SCC), his or her law clerks or SCC court staff, in relation to judicial proceedings before the...