Slope and Slope Formula

Front

What is the slope formula used to calculate the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is and the direction it moves (upward or downward).

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the value of x when y = 0, found by setting y to 0 in the equation and solving for x.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero in the slope formula.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope. If m1 = m2, the lines are parallel.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1. If m1 * m2 = -1, the lines are perpendicular.

Front

What is the slope of the line that passes through the points (3, 4) and (7, 10)?

Back

The slope is calculated as m = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, meaning the line descends from left to right.