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For the equation y=49x, what is the y-intercept and slope?

1) The y-intercept is 0, and the slope is 49.
2) The y-intercept is 49, and the slope is 0.
3) The y-intercept is 0, and the slope is 0.
4) The y-intercept is 49, and the slope is 49.

User Deepsky
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1 Answer

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Final answer:

The linear equation y=49x has a y-intercept of 0 and a slope of 49, as it correlates with the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

To identify the y-intercept and slope of the given equation y = 49x, we can compare it to the slope-intercept form of a linear equation which is y = mx + b, where m is the slope and b is the y-intercept. In our given equation, there is no constant term, which means the y-intercept, b, is 0. The coefficient of x, which is 49, is our slope. Therefore, the y-intercept is the point where the line crosses the y-axis at (0,0), and the slope indicates that there is a rise of 49 units on the vertical axis for every increase of 1 unit on the horizontal axis. The correct answer is: The y-intercept is 0, and the slope is 49.

User Mathandy
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