Graphing 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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert from standard form to slope-intercept form?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

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.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Tags

CCSS.8.EE.B.6

Front

How can you determine the number of solutions in a system of equations?

Back

The number of solutions can be determined by graphing the equations: no solution (lines are parallel), one solution (lines intersect), or infinitely many solutions (lines are the same).

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

The solution is the point (1, 3), where the two lines intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What happens when you graph the same equation twice?

Back

You will have infinitely many solutions, as the two lines overlap completely.

Tags

CCSS.8.EE.C.8A

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.