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Questions and Answers
What is the y-intercept of the equation y = 2x + 8?
What is the y-intercept of the equation y = 2x + 8?
- 6
- 10
- 8 (correct)
- 4
What is the slope of the equation y = 2x + 8?
What is the slope of the equation y = 2x + 8?
- 4
- -8
- 2 (correct)
- -2
When the equation y = 2x + 8 intercepts the y-axis, what is the value of x?
When the equation y = 2x + 8 intercepts the y-axis, what is the value of x?
- -2
- -4
- 0 (correct)
- 2
What does the x-intercept represent in the context of the equation y = 2x + 8?
What does the x-intercept represent in the context of the equation y = 2x + 8?
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What method is emphasized in the text for finding the slope, y-intercept, and x-intercept of the equation y = 2x + 8?
What method is emphasized in the text for finding the slope, y-intercept, and x-intercept of the equation y = 2x + 8?
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Study Notes
- The text discusses the equation y = 2x + 8, which is in slope-intercept form.
- The text mentions that the equation can be graphed to find the slope, y-intercept, and x-intercept.
- However, the text focuses on finding the slope, y-intercept, and x-intercept algebraically without graphing.
- The text explains that the slope is 2, which is evident from the equation's slope-intercept form.
- The text states that the y-intercept is 8, which is the value of y when x = 0.
- To find the y-intercept, one sets x = 0 and solves for y.
- The text also explains that the x-intercept is the value of x when y = 0.
- To find the x-intercept, one sets y = 0 and solves for x.
- The text mentions that when the equation y = 2x + 8 intercepts the y-axis, the x value is 0, and when it intercepts the x-axis, the y value is 0.
- The text provides an example of finding the y-intercept and x-intercept using the given equation.
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