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Graph the line. 3 y = -√x+2 4*+2

Graph the line. 3 y = -√x+2 4*+2

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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Graph the line, how do you graph the line? y=-3/4x+2
**Instruction for Graphing a Line** **Objective:** Graph the line represented by the equation. **Equation:** \( y = -\frac{3}{4}x + 2 \) **Description:** 1. **Understanding the Equation:** - The equation is in slope-intercept form: \( y = mx + b \). - **Slope (m):** \(-\frac{3}{4}\) - **Y-intercept (b):** \(2\) 2. **Plotting the Y-intercept:** - Start by plotting the y-intercept on the graph. This is the point where the line crosses the y-axis. For this equation, it is at (0, 2). 3. **Using the Slope:** - From the y-intercept, use the slope to find another point on the line. - The slope \(-\frac{3}{4}\) means you go down 3 units and right 4 units from the y-intercept. 4. **Drawing the Line:** - Use a ruler to draw a straight line through the points. **Interactive Tools:** - The interface includes tools for erasing and drawing on the graph. - Additional functions like undo and grid toggle are available for convenience. **Graph Details:** - **Axes:** Marked with numbers, positive y-values increase upwards. - **Grid:** Square grid with faint lines for precision in plotting. **Action Buttons:** - **Submit:** To finalize your graph. - **I Don't Know:** To indicate uncertainty. This exercise helps reinforce understanding of linear equations and graphing skills. Practice plotting accurately to develop a strong grasp of graphing techniques.
Transcribed Image Text:**Instruction for Graphing a Line** **Objective:** Graph the line represented by the equation. **Equation:** \( y = -\frac{3}{4}x + 2 \) **Description:** 1. **Understanding the Equation:** - The equation is in slope-intercept form: \( y = mx + b \). - **Slope (m):** \(-\frac{3}{4}\) - **Y-intercept (b):** \(2\) 2. **Plotting the Y-intercept:** - Start by plotting the y-intercept on the graph. This is the point where the line crosses the y-axis. For this equation, it is at (0, 2). 3. **Using the Slope:** - From the y-intercept, use the slope to find another point on the line. - The slope \(-\frac{3}{4}\) means you go down 3 units and right 4 units from the y-intercept. 4. **Drawing the Line:** - Use a ruler to draw a straight line through the points. **Interactive Tools:** - The interface includes tools for erasing and drawing on the graph. - Additional functions like undo and grid toggle are available for convenience. **Graph Details:** - **Axes:** Marked with numbers, positive y-values increase upwards. - **Grid:** Square grid with faint lines for precision in plotting. **Action Buttons:** - **Submit:** To finalize your graph. - **I Don't Know:** To indicate uncertainty. This exercise helps reinforce understanding of linear equations and graphing skills. Practice plotting accurately to develop a strong grasp of graphing techniques.
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y=-\frac{3}{4}x+2

to graph the line, we need only two points

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