Unit 3 Catch Up

Front

What is the formula to 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

Given the points (-1, 2) and (3, 5), what is the slope?

Back

The slope is 3/4.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is a constant.

Front

What is the constant of proportionality in a linear relationship?

Back

The constant of proportionality is the ratio of y to x, represented as k = y/x.

Front

If the constant of proportionality is 0.2, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 0.2 units.

Front

What is the general form of a linear equation?

Back

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