Linear Equations Flashcard Review

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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. It indicates how steep the line is and the direction it goes (positive, negative, zero, or undefined).

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases. The line rises from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases. The line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where y remains constant regardless of x.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x remains constant regardless of y.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where 'a' is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is in the form y = b, where 'b' is a constant.