slope, intercepts, slope intercept form flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (change in y) to the run (change in x). It is often represented as 'm' in the slope-intercept form of a linear equation.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the y-intercept of an equation?

Back

To find the y-intercept of an equation, set x = 0 and solve for y.

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept of an equation, set y = 0 and solve for x.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5.

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

The y-intercept is -2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope is 2.

Front

Which equation represents a vertical line?

Back