Math 3 Lessons 2.8 to 2.12 Flashcard 2024

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if it has a constant ratio between the values and passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope-intercept form of a linear equation is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 6?

Back

The equation of the line is y = 3x + 6.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 2 units.

Front

What is the significance of the point (0,0) in proportional relationships?

Back

The point (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.