Graphing Linear Equations

Front

What is the definition of 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 or negative).

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 is zero slope?

Back

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

Front

What is an undefined slope?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x to 0 in the equation and solving for y.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the line crosses the y-axis.

Front

How do you convert a linear equation to slope-intercept form?

Back

To convert to slope-intercept form, solve the equation for y in terms of x.