Linear Relationships Test Review 7th grade

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, typically 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 in a linear equation?

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

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

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the equation of a line that passes through the origin?

Back

The equation of a line that passes through the origin is y = mx, where m is the slope.

Front

How do you graph a linear equation?

Back

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

Front

What does the equation y = 4x + 7 represent?

Back

This equation represents a linear relationship where the slope is 4 and the y-intercept is 7.

Front

How can you find the equation of a line from a graph?

Back

To find the equation of a line from a graph, identify two points on the line, calculate the slope using the formula (y2 - y1) / (x2 - x1), and use one of the points to solve for the y-intercept.

Front

What is the relationship between the number of miles traveled and gallons of gas used in the equation y = (1/35)x?

Back

This equation indicates that for every 35 miles traveled, 1 gallon of gas is used, representing a linear relationship between miles and gallons.

Front

How do you interpret the total cost equation for snacks at a dance, y = 0.75x + 5?

Back

In this equation, y represents the total cost, x represents the number of snacks purchased, 0.75 is the cost per snack, and 5 is the entry fee to the dance.