G4 Slope 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 the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

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

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (run) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no vertical change (rise) as you move along the line.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit of horizontal change, the line rises 2 units vertically, making it relatively steep.

Front

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

Back

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

Front

How can you identify the slope from the equation of a line in slope-intercept form?

Back

In the equation y = mx + b, the coefficient m represents the slope of the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

If a line has a slope of -3, what does this indicate about the direction of the line?

Back

A slope of -3 indicates that the line descends from left to right, meaning it falls as you move along the x-axis.