Writing Linear Equations Practice

Front

What is the definition of slope in a linear equation?

Back

The slope of a linear equation 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 unit change in x.

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs in vertical lines where x remains constant, indicating that there is no change in y as x changes.

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 slope of the line that passes through the points (5, 2) and (5, -3)?

Back

Undefined.

Front

What is the slope of the line that passes through the points (-5, 4) and (15, -4)?

Back

Front

What does the slope of 6.25 mean in context?

Back

It means that for every hour worked, $6.25 is earned.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 1/2?

Back

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.