Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

How do you identify the y-intercept from a linear equation?

Back

The y-intercept can be identified as the value of 'b' in the slope-intercept form (y = mx + b). It is the point where the line crosses the y-axis.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in the y-value as the x-value changes.

Front

How can you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the x-axis in the coordinate plane?

Back

The x-axis is the horizontal line on the coordinate plane where the y-value is 0. It serves as a reference for measuring the position of points.

Front

What is the significance of the y-axis in the coordinate plane?

Back

The y-axis is the vertical line on the coordinate plane where the x-value is 0. It serves as a reference for measuring the position of points.