Slope-Intercept Form

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

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, meaning x = 0.

Front

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

Back

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

Front

What is the x-intercept of the equation y = 2x + 4?

Back

The x-intercept is (-2, 0).

Front

If two lines are parallel, what can be said about their slopes?

Back

The slopes of parallel lines are the same.

Front

True or False: The x-intercept of a function always occurs where y is equal to zero.

Back

True.

Front

What is the general shape of a linear graph?

Back

A linear graph forms a straight line.

Front

How can you determine if a graph is linear?

Back

A graph is linear if it forms a straight line without any curves.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope of the line is -3.