Slope review

Front

What is the slope of a line?

Back

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

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 the y-intercept represent in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

Write the equation of a line with a slope of 1 and a y-intercept of 2.

Back

y = 1x + 2 or y = x + 2.

Front

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

Back

The slope is -3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

How would you write the equation of a line with a slope of -2 and a y-intercept of 5?

Back

y = -2x + 5.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation, 'm' represents the slope of the line.