Graphing Linear Equations

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 (upward or downward).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis. It is represented by the value of x when y = 0.

Front

How do you find the x-intercept from the equation y = mx + b?

Back

To find the x-intercept, set y = 0 and solve for x in the equation y = mx + b.

Front

What does it mean if the slope of a line is negative?

Back

If the slope of a line is negative, it means that as x increases, y decreases. The line goes down from left to right.

Front

What does it mean if the slope of a line is positive?

Back

If the slope of a line is positive, it means that as x increases, y also increases. The line goes up from left to right.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, plot it on the graph, use the slope to find another point, and draw a straight line through the points.