Linear Relationships

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is 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 y with respect to x, indicating how steep the line is.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant for all values.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope of the line is -4.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

Front

What is the y-intercept in the equation y = x + 5?

Back

The y-intercept is 5, which is the value of y when x is 0.

Front

How can you find the slope from a slope triangle?

Back

The slope can be found by dividing the rise (change in y) by the run (change in x) of the triangle.

Front

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

Back

Proportional relationships have a constant ratio between y and x, while non-proportional relationships do not.

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.

Front

How do you graph a linear equation?

Back

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