Graphing Linear Equations

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the value of y when x = 0.

Front

If m = 2 and b = 4, what is the slope-intercept equation?

Back

y = 2x + 4.

Front

What is the general equation of a line in standard form?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the significance of the coefficients in the equation y = mx + b?

Back

m is the slope and b is the y-intercept.

Front

How can you determine if a graph represents a linear equation?

Back

If the graph is a straight line, it represents a linear equation.

Front

What is the relationship between the slope and the direction of a line?

Back

A positive slope means the line rises, while a negative slope means it falls.