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Slope is a measure of the steepness of a line, defined as rise over run from left to right. There are three types of slope: positive, negative, and zero. To find slope, identify the vertical rise and horizontal run between two points on a line, then calculate rise over run. For example, a line with a rise of -3 and run of 2 would have a negative slope of -3/2.
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Real life application of slope_Ajay_TD
This document discusses slope and how it is defined as the ratio of the "rise" over the "run" between two points on a line. It provides examples of slope from staircases, buildings, flag poles, pianos, cars, and more to illustrate how slope is represented in the real world. Key terms discussed include positive and negative slope, and that horizontal and vertical lines have slopes of 0 and no slope, respectively.
Slope
The document discusses slope and how to calculate it. It defines slope as the rate of change of a line and provides the formula slope=rise/run. It then explains how to find the slope of a line graph by picking two points and calculating rise over run. Finally, it demonstrates how to find the slope of a line given two points or from a table of x-y values using the same rise over run formula.
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To write the equation of a line in slope-intercept form (y=mx+b) given the slope (m) and y-intercept (b):
1) Identify the y-intercept as the y-value when x=0
2) Plug the slope (m) and y-intercept (b) into the slope-intercept equation
3) To write the equation when given two points, use the point-slope formula: y-y1=m(x-x1), where m is the slope calculated from the two points.
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The document provides information about calculating the slope of a line from a graph or two points, including examples and practice problems. Key terms are defined, such as rise, run, slope, dependent and independent variables. An example problem demonstrates how to find the slope from a table of gas costs and gallons and interpret what the slope represents. A lesson quiz provides practice finding slopes and interpreting what they represent based on graphs and tables.
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There are three main forms for writing linear equations: slope-intercept form (y=mx+b), point-slope form (y-y1=m(x-x1)), and standard form (Ax + By = C). Each form can be used to graph the line by finding ordered pairs that satisfy the equation and plotting those points. For slope-intercept form, a table of x-values with their corresponding y-values is made to find the points. For point-slope form and standard form, the given point and slope or intercepts are used to find another point which are then plotted and connected with a line.
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This document discusses slope and how it is defined as the ratio of the "rise" over the "run" between two points on a line. It provides examples of slope from staircases, buildings, flag poles, pianos, cars, and more to illustrate how slope is represented in the real world. Key terms discussed include positive and negative slope, and that horizontal and vertical lines have slopes of 0 and no slope, respectively.
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To write the equation of a line in slope-intercept form (y=mx+b) given the slope (m) and y-intercept (b):
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3) To write the equation when given two points, use the point-slope formula: y-y1=m(x-x1), where m is the slope calculated from the two points.
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There are three main forms for writing linear equations: slope-intercept form (y=mx+b), point-slope form (y-y1=m(x-x1)), and standard form (Ax + By = C). Each form can be used to graph the line by finding ordered pairs that satisfy the equation and plotting those points. For slope-intercept form, a table of x-values with their corresponding y-values is made to find the points. For point-slope form and standard form, the given point and slope or intercepts are used to find another point which are then plotted and connected with a line.
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Slope is a measure of steepness that represents the rate of change between two points on a line. It is commonly represented by the letter m. The formula for calculating slope given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1). Slope can be found from an equation by rewriting it in slope-intercept (y = mx + b) or standard (Ax + By = C) form and calculating m as -A/B. Slope can also be determined graphically by calculating the rise over run between two points.
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Share My Lesson: The Slope of a Line
From: 21st Century Lessons: A Boston Teachers Union Initiative and Corey Cheever. Use this Common Core State Standards aligned lesson to engage middle school math students with learning about identifying the slope of a line, and graphing a line with a given slope. The "Do Now" will remind students about the order of operations when dealing with negative numbers and fraction bars. Then, the students will see a demonstration of positive, negative, zero, and undefined slope. During the exploration, students will find slope by definition (rise/run), and the practice will turn towards the slope formula. Finally, the homework assignment investigates slope with regards to geometry. Find this linear equation lesson and companion worksheets - all free - on Share My Lesson: http://www.sharemylesson.com/teaching-resource/the-slope-of-a-line-50033011/
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- 3. Slope: • Measure of the steepness of a line • In math, Slope is defined from left to right! • Three main types of Slope: • Positive • Negative • Zero
- 4. How do we find Slope? Slope is defined as rise over run.
- 5. Rise vs. Run: How do we remember? Rise… • Think of rising from your chair! • When you “rise” from your chair, you move your body up and down. Run… • Think of running! • When you “run,” we see your body moving left or right.
- 6. Example: 1. The rise is -3 and the run is 2. 2. Fill in the equation: Slope = −𝟑 𝟐 3. T 𝐡𝐞 𝐬𝐥𝐨𝐩𝐞 𝐟𝐨𝐫 𝐭𝐡𝐞 𝐥𝐢𝐧𝐞 𝐚𝐛𝐨𝐯𝐞 𝐢𝐬 −𝟑 𝟐 . It is a negative slope! Slope = 𝑹𝒊𝒔𝒆 𝑹𝒖𝒏 Positive Number = Positive Slope Negative Number = Negative Slope