A.2B Practice w/ Calc hints

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. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

How do you find the equation of a line given a point and a slope?

Back

Front

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

Back

Front

What does it mean for a line to pass through a point?

Back

A line passes through a point if the coordinates of that point satisfy the equation of the line.

Front

How can you verify if a point lies on a line given its equation?

Back

Substitute the x-coordinate of the point into the equation and check if the resulting y-value matches the y-coordinate of the point.

Front

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

Back

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent rates of change, such as speed, growth, or any relationship between two variables.

Front

What is the formula for calculating the slope between two points?

Back