Graphing y = mx + b

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept is the value of b in the equation y = mx + b, which is the point where the line crosses the y-axis.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

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

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

How can you convert the equation 2y = 4x + 6 into slope-intercept form?

Back

To convert to slope-intercept form, divide the entire equation by 2: y = 2x + 3.

Front

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

Back

The y-intercept is 5, which is the value of b in the equation.

Front

How do you find the equation of a line given a slope and a point on the line?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the significance of the point (0, b) in the context of linear equations?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept forms.

Front

What does it mean if a line has a slope of zero?

Back

A line with a slope of zero is horizontal, indicating that y remains constant regardless of x.