Slope and Y-Intercept

Front

What does the slope tell you about the line?

Back

The slope indicates the steepness, direction, and rate of change of the line.

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a positive slope, what does that indicate about its direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the slope-intercept form of a line (y = mx + b)?

Back

The y-intercept is represented by 'b' in the equation.

Front

What does a slope of 1 mean in terms of rise over run?

Back

A slope of 1 means that for every 1 unit you rise, you run 1 unit.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.