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 a linear equation of the form 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 much y changes for a one-unit increase in x.

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 in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

Write the equation for a linear relationship where the y-intercept is 20 and the slope is 5.

Back

y = 5x + 20.

Front

If a streaming service costs $20 to sign up and $5 per month, what is the total cost after x months?

Back

Total cost = 20 + 5x.

Front

What does it mean for a graph to increase the fastest?

Back

A graph increases the fastest when it has the steepest slope, meaning that for each unit increase in x, y increases by a larger amount compared to other graphs.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the y-axis, and use the slope to find another point. Then draw a straight line through the points.

Front

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

Back

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

Front

Given the points (7,3) and (9,7), what is the slope?

Back

The slope is 2.