Solving Systems by Graphing

Front

What is the solution to the system of equations represented by the lines x + 2y = 2 and x = 4y + 2?

Back

(2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means that the lines represented by the equations are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you find the intersection point of two lines graphically?

Back

By graphing both lines on the same coordinate plane and identifying the point where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the intersection point of the lines y = -6x + 5 and -2x + y = 5?

Back

(0, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you convert the equation 3x + y = 12 into slope-intercept form?

Back

y = -3x + 12

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is slope-intercept form of a linear equation?

Back

It is the form 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

What is the slope of the line represented by the equation y = -7x - 15?

Back

-7

Tags

CCSS.8.EE.B.5

Front

How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

By analyzing the slopes and y-intercepts of the lines: if they are the same, they have no solution; if they are different, they have one solution; if they are the same and overlap, they have infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the y-intercept of the line represented by the equation y = -3x + 12?

Back

12

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you graph the equation y = -6x + 5?

Back

Start at the y-intercept (0, 5) and use the slope (-6) to find another point.