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Graph Point-Slope Form Point -2 3 (1-1 -6 Slope m = -4/5 m = 14

Graph Point-Slope Form Point -2 3 (1-1 -6 Slope m = -4/5 m = 14

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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how do i figure out the point slope form?

The image presents a table used for teaching the point-slope form of a linear equation. It includes graphs, points, and slopes arranged in rows. Here's a detailed description: ### Row 1: - **Graph:** The first graph shows a downward-sloping line passing through two red points. This is on a Cartesian plane with a grid. - **Point-Slope Form:** The space for the equation is left blank, to practice inserting values. - **Point:** The coordinate for one of the points on the line is \((-2, 3)\). - **Slope (m):** The slope of the line is \(m = -\frac{4}{5}\). ### Row 2: - **Graph:** The second graph shows an upward-sloping line also passing through two red points, on a similar Cartesian grid. - **Point-Slope Form:** Again, the space for the equation is left blank. - **Point:** The coordinate for one of the points on the line is \((-1, -6)\). - **Slope (m):** The slope of the line is \(m = 4\). This table is designed to help students learn how to apply the point-slope form, which is used to write equations of lines in the format \(y - y_1 = m(x - x_1)\), where \((x_1, y_1)\) is a specific point on the line and \(m\) is the slope.
Transcribed Image Text:The image presents a table used for teaching the point-slope form of a linear equation. It includes graphs, points, and slopes arranged in rows. Here's a detailed description: ### Row 1: - **Graph:** The first graph shows a downward-sloping line passing through two red points. This is on a Cartesian plane with a grid. - **Point-Slope Form:** The space for the equation is left blank, to practice inserting values. - **Point:** The coordinate for one of the points on the line is \((-2, 3)\). - **Slope (m):** The slope of the line is \(m = -\frac{4}{5}\). ### Row 2: - **Graph:** The second graph shows an upward-sloping line also passing through two red points, on a similar Cartesian grid. - **Point-Slope Form:** Again, the space for the equation is left blank. - **Point:** The coordinate for one of the points on the line is \((-1, -6)\). - **Slope (m):** The slope of the line is \(m = 4\). This table is designed to help students learn how to apply the point-slope form, which is used to write equations of lines in the format \(y - y_1 = m(x - x_1)\), where \((x_1, y_1)\) is a specific point on the line and \(m\) is the slope.
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