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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.8.EE.B.5