Slope-Intercept Form

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How is slope represented in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, the slope is represented by the coefficient of x in the equation y = mx + b, where m is the slope and b is the y-intercept.

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, meaning the line rises from left to right.

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, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change and the rise is non-zero.

Front

How do 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 slope of the line represented by the equation y = 3x + 4?

Back

The slope of the line is 3, which is the coefficient of x in the equation.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

The equation can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function y = -2x + 5?

Back

The slope of the function is -2.