Solving Systems by Graphing (already in y=)

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system by graphing?

Back

To solve a system by graphing means to plot each equation on the same graph and identify the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the slope from an equation in slope-intercept form?

Back

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear equation?

Back

Front

How do you graph a linear equation in slope-intercept form?

Back

1. Start at the y-intercept (0, b). 2. Use the slope (rise/run) to find another point. 3. Draw a line through the points.

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, meaning they intersect at a right angle.

Tags

CCSS.8.EE.B.6

Front

What is the solution to a system of equations if the lines intersect at one point?

Back

The solution is the coordinates of the intersection point, which satisfies both equations.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has no solution?

Back

A system has no solution if the lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A