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**Graphing a Linear Equation** The equation of a line is given below: \[ -6x + 2y = -2 \] Find the slope and the y-intercept. Then use them to graph the line. **Steps to find slope and y-intercept:** 1. **Rewrite the equation in slope-intercept form (y = mx + b)**: \[ -6x + 2y = -2 \] \( 2y = 6x - 2 \) \( y = 3x - 1 \) Here, \( m = 3 \) (slope) and \( b = -1 \) (y-intercept). 2. **Identify the slope and y-intercept**: - Slope: \( m = 3 \) - y-intercept: \( b = -1 \) Enter the values for the slope and y-intercept in the provided boxes. **Visual Explanation:** - The provided graph is a Cartesian plane with the x-axis and y-axis ranging from -10 to 10. - To graph the line: - Start at the y-intercept (0, -1). - Use the slope to plot another point on the line. Here, the slope is 3, which means for every 1 unit you move to the right on the x-axis, you move 3 units up on the y-axis. - Repeat this step to plot a few more points and draw the line through these points. **Action Window:** - After finding and inputting the correct values for slope and y-intercept, use the graphing tool to plot the line accurately. **Interactive Components:** - Slope box: Input the value of the slope here. - y-intercept box: Input the value of the y-intercept here. - Graphing tool: Use the buttons to graph the line based on the slope and y-intercept calculated. **Controls:** - A check (✓) button to verify your answer. - A reset (⟲) button to clear inputs and start over. - A help (?) button for hints or assistance. **Continue Button:** - Use the "Continue" button to proceed to the next part of the lesson or to check your answers upon completion. **Note:** - Revisiting the calculation steps can help ensure that the values of the slope and y-intercept are correct and accurate graph representation

**Graphing a Linear Equation** The equation of a line is given below: \[ -6x + 2y = -2 \] Find the slope and the y-intercept. Then use them to graph the line. **Steps to find slope and y-intercept:** 1. **Rewrite the equation in slope-intercept form (y = mx + b)**: \[ -6x + 2y = -2 \] \( 2y = 6x - 2 \) \( y = 3x - 1 \) Here, \( m = 3 \) (slope) and \( b = -1 \) (y-intercept). 2. **Identify the slope and y-intercept**: - Slope: \( m = 3 \) - y-intercept: \( b = -1 \) Enter the values for the slope and y-intercept in the provided boxes. **Visual Explanation:** - The provided graph is a Cartesian plane with the x-axis and y-axis ranging from -10 to 10. - To graph the line: - Start at the y-intercept (0, -1). - Use the slope to plot another point on the line. Here, the slope is 3, which means for every 1 unit you move to the right on the x-axis, you move 3 units up on the y-axis. - Repeat this step to plot a few more points and draw the line through these points. **Action Window:** - After finding and inputting the correct values for slope and y-intercept, use the graphing tool to plot the line accurately. **Interactive Components:** - Slope box: Input the value of the slope here. - y-intercept box: Input the value of the y-intercept here. - Graphing tool: Use the buttons to graph the line based on the slope and y-intercept calculated. **Controls:** - A check (✓) button to verify your answer. - A reset (⟲) button to clear inputs and start over. - A help (?) button for hints or assistance. **Continue Button:** - Use the "Continue" button to proceed to the next part of the lesson or to check your answers upon completion. **Note:** - Revisiting the calculation steps can help ensure that the values of the slope and y-intercept are correct and accurate graph representation

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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**Graphing a Linear Equation** The equation of a line is given below: \[ -6x + 2y = -2 \] Find the slope and the y-intercept. Then use them to graph the line. **Steps to find slope and y-intercept:** 1. **Rewrite the equation in slope-intercept form (y = mx + b)**: \[ -6x + 2y = -2 \] \( 2y = 6x - 2 \) \( y = 3x - 1 \) Here, \( m = 3 \) (slope) and \( b = -1 \) (y-intercept). 2. **Identify the slope and y-intercept**: - Slope: \( m = 3 \) - y-intercept: \( b = -1 \) Enter the values for the slope and y-intercept in the provided boxes. **Visual Explanation:** - The provided graph is a Cartesian plane with the x-axis and y-axis ranging from -10 to 10. - To graph the line: - Start at the y-intercept (0, -1). - Use the slope to plot another point on the line. Here, the slope is 3, which means for every 1 unit you move to the right on the x-axis, you move 3 units up on the y-axis. - Repeat this step to plot a few more points and draw the line through these points. **Action Window:** - After finding and inputting the correct values for slope and y-intercept, use the graphing tool to plot the line accurately. **Interactive Components:** - Slope box: Input the value of the slope here. - y-intercept box: Input the value of the y-intercept here. - Graphing tool: Use the buttons to graph the line based on the slope and y-intercept calculated. **Controls:** - A check (✓) button to verify your answer. - A reset (⟲) button to clear inputs and start over. - A help (?) button for hints or assistance. **Continue Button:** - Use the "Continue" button to proceed to the next part of the lesson or to check your answers upon completion. **Note:** - Revisiting the calculation steps can help ensure that the values of the slope and y-intercept are correct and accurate graph representation
Transcribed Image Text:**Graphing a Linear Equation** The equation of a line is given below: \[ -6x + 2y = -2 \] Find the slope and the y-intercept. Then use them to graph the line. **Steps to find slope and y-intercept:** 1. **Rewrite the equation in slope-intercept form (y = mx + b)**: \[ -6x + 2y = -2 \] \( 2y = 6x - 2 \) \( y = 3x - 1 \) Here, \( m = 3 \) (slope) and \( b = -1 \) (y-intercept). 2. **Identify the slope and y-intercept**: - Slope: \( m = 3 \) - y-intercept: \( b = -1 \) Enter the values for the slope and y-intercept in the provided boxes. **Visual Explanation:** - The provided graph is a Cartesian plane with the x-axis and y-axis ranging from -10 to 10. - To graph the line: - Start at the y-intercept (0, -1). - Use the slope to plot another point on the line. Here, the slope is 3, which means for every 1 unit you move to the right on the x-axis, you move 3 units up on the y-axis. - Repeat this step to plot a few more points and draw the line through these points. **Action Window:** - After finding and inputting the correct values for slope and y-intercept, use the graphing tool to plot the line accurately. **Interactive Components:** - Slope box: Input the value of the slope here. - y-intercept box: Input the value of the y-intercept here. - Graphing tool: Use the buttons to graph the line based on the slope and y-intercept calculated. **Controls:** - A check (✓) button to verify your answer. - A reset (⟲) button to clear inputs and start over. - A help (?) button for hints or assistance. **Continue Button:** - Use the "Continue" button to proceed to the next part of the lesson or to check your answers upon completion. **Note:** - Revisiting the calculation steps can help ensure that the values of the slope and y-intercept are correct and accurate graph representation
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