Linear Relationships Test Review

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, b) where b is the value of y at that point.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of y to x is constant, and the graph passes through the origin (0,0).

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships pass through the origin and have a constant ratio, while non-proportional relationships do not pass through the origin.

Front

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

Back

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

How can you identify the y-intercept from a table of values?

Back

The y-intercept can be identified as the value of y when x = 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the significance of the slope in real-world contexts?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various real-world situations.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point.