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, and is calculated as the change in y divided by the change in x (rise over run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b, where b is the y-intercept.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 5.

Back

The equation is y = 2x + 5.

Front

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

Back

The slope (m) is 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 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 relationship between slope and steepness?

Back

A larger absolute value of the slope indicates a steeper line, while a smaller absolute value indicates a less steep line.

Front

Write an equation for a line that passes through the point (1, 2) with a slope of 4.

Back

The equation is y - 2 = 4(x - 1), which simplifies to y = 4x - 2.

Front

What does a negative slope indicate about the direction of a line?

Back

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