Post test Unit 8.3. Proportional and Linear Relationship

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

What is the slope (m) in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

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

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning the expressions on both sides are equal.

Front

What is the first step to solve the equation 2x - 20 = 120?

Back

Add 20 to both sides to isolate the term with x.

Front

What is the solution to the equation 7x + 7 = 49?

Back

The solution is x = 6.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, indicating where the line crosses the y-axis.

Front

What does it mean if the slope of a line is 0?

Back

A slope of 0 means the line is horizontal, indicating no change in y as x changes.