Slope Test

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down, and there is no horizontal change.

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

In the equation y = mx + b, what do 'm' and 'b' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

In slope-intercept form (y = mx + b), the coefficient of x (m) directly represents the slope of the line.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.

Front

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

Back

To write the equation of a line given a slope (m) and a y-intercept (b), use the slope-intercept form: y = mx + b.

Front

If a line has a slope of 2/3, what does this mean in terms of rise and run?

Back

A slope of 2/3 means that for every 3 units of horizontal change (run), the line rises 2 units (rise).

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

The slope of the line is 5/2.