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How to find the slope and y-intercept of a line?

A) Use the point-slope form
B) Use the slope-intercept form
C) Calculate the average rate of change
D) Substitute points into the equation

User Techmaster
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Final answer:

To find the slope and y-intercept of a line, use the slope-intercept form y = mx + b (or y = a + bx), where the coefficient of x is the slope and the constant is the y-intercept.

Correct option is B) Use the slope-intercept form

Step-by-step explanation:

To find the slope and y-intercept of a line, you can use the slope-intercept form of a linear equation, which is typically written as y = mx + b or y = a + bx. In both cases, the coefficient of x (represented by m or b) is the slope and the constant term (b or a) is the y-intercept. The slope indicates the steepness of the line, or the rise over run, and the y-intercept is where the line crosses the y-axis, at point (0, a).

To illustrate, if you have a line equation y = 3x + 9, the slope of the line would be 3, indicating a rise of 3 units in the y-direction for every 1 unit increase in the x-direction. The y-intercept would be 9, meaning the line crosses the y-axis at the point (0, 9).

User Vicmns
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