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How to find the x and y intercepts and slope of a given mathematical equation?

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Final answer:

To find the slope and y-intercept of a linear equation, use the equation y = a + bx. The slope is found by identifying the coefficient of x, while the y-intercept is the constant term in the equation when x = 0.

Step-by-step explanation:

The slope and y-intercept of a linear equation can be found using the equation y = a + bx, where b is the slope and a is the y-intercept. The slope represents the steepness of the line while the y-intercept is the point where the line crosses the y-axis.

To find the slope, identify the coefficient of x in the equation. For example, if the equation is y = 2x + 3, the slope is 2. To find the y-intercept, look at the constant term in the equation, which is the value of y when x = 0. In the example equation, the y-intercept is 3.

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