SOL A.6 Review

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a line that descends from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as the x-values change.

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.

Front

How do you write the equation of a horizontal line?

Back

The equation of a horizontal line can be written in the form y = b, where b is the y-coordinate of any point on the line.

Front

How do you write the equation of a vertical line?

Back

The equation of a vertical line can be written in the form x = a, where a is the x-coordinate of any point on the line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to calculate the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept from the equation y = -2x + 3?

Back

The y-intercept is 3, which means the line crosses the y-axis at the point (0, 3).