Graphing Linear Equations

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 slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept (b) in the equation y = mx + b?

Back

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

Front

What is the y-intercept of the equation y = 2x - 5?

Back

The y-intercept is -5.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

Solve for y to isolate it on one side: y = (-A/B)x + (C/B).

Front

What is the graph of the equation y = 3x + 1?

Back

A straight line with a slope of 3 and a y-intercept of 1.

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.