EOC Review #3

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is the point where the line crosses the x-axis. For the equation 3x + 8y = 24, the x-intercept is (8, 0).

Front

The Pythagorean Theorem states that:

Back

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

Find the slope of the line that contains the points (2, -3) and (5, -1).

Back

Front

Find the slope of the line that contains the points (3, -8) and (4, 11).

Back

The slope is 19.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

Front

What is the difference between positive and negative slope?

Back

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right.

Front

What is the significance of the coordinates (0, b) in a linear equation?

Back

The coordinates (0, b) represent the y-intercept of the line, where the line crosses the y-axis.