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Algebra: Finding Slope and Intercepts

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Questions and Answers

What is the y-intercept of the equation y = 2x + 8?

8 (correct)

What is the slope of the equation y = 2x + 8?

-8

2 (correct)

-2

When the equation y = 2x + 8 intercepts the y-axis, what is the value of x?

-2

-4

0 (correct)

What does the x-intercept represent in the context of the equation y = 2x + 8?

<p>The value of x when y = 0</p> Signup and view all the answers

What method is emphasized in the text for finding the slope, y-intercept, and x-intercept of the equation y = 2x + 8?

<p>Substituting different values of x and y</p> Signup and view all the answers

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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Description

Learn how to find the slope, y-intercept, and x-intercept algebraically for an equation in slope-intercept form. Practice setting x or y to 0 and solving for the other variable to find intercepts.