Solutions to Equations Given a Graph

Given that they graph represents a system of equations on a coordinate plane, how many solutions does the system have?

• no solution

• one solution

• two solutions

• infinitely many solutions

Tags

CCSS.8.EE.C.8A

If two equations are graphed, how can you find the solution to the system of equations?

• Find the slope of point lines.

• Find where the lines intersect.

• Find where the slope is positive.

• Find where both lines cross the x-axis.

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations shown in the graph?(0, 5)

• (0, 5)

• (-2, 1)

• (0, -1)

• (1, -2)

Tags

CCSS.8.EE.C.8B

Choose the correct equation for the given graph.

• y = x + 2

• y = 4 + x

• y = x - 2

• y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

What are the solutions to the system of equations graphed below?

• (2, 0)

• (0, 4)

• (-2,0)

• (0, -4)

• No Solution

Tags

CCSS.HSA.REI.C.7

Which ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-4)

Tags

CCSS.HSA.REI.C.7

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Tags

CCSS.HSA.REI.C.7