Graphing Linear Equations

Front

What is the definition of slope in a linear equation?

Back

The slope of a linear equation represents the rate of change of the y-value with respect to the x-value, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

How do you determine if a slope is positive, negative, or zero?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How can you find the slope from two points on a graph?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of a slope of zero in a linear equation?

Back

A slope of zero indicates that the line is horizontal, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5