8th Unit 3 Test Review: Linear Relationships

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes.

Front

How do you 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

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0 in the equation of the line.

Front

How do you find the y-intercept from the equation of a line?

Back

To find the y-intercept from the equation of a line in the form y = mx + b, simply identify the value of b.

Front

What is the cost for 1 month if the sign-up fee is $20 and the monthly fee is $5?

Back

The total cost for 1 month is $20 (sign-up fee) + $5 (monthly fee) = $25.

Front

How do you determine if a point is a solution to a linear equation?

Back

To determine if a point (x, y) is a solution to a linear equation, substitute the x value into the equation and see if the resulting y value matches the y value of the point.

Front

What does it mean if a line has a higher y-intercept?

Back

A line with a higher y-intercept means that it starts higher on the y-axis, indicating a greater initial value of the dependent variable when the independent variable is zero.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The formula for the equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If the slope of a line is 2, what does this indicate about the relationship between x and y?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units.