Solutions to Linear Equations Using a Graph

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

The solution to the system of linear equations is...

Select all the methods you can use to solve a system of equations

• Graphing

• Elimination

• Substitution

• Using a Table

• Desmos

Lines who's graphs intersect infinitely many times

• System of equations

• Coincident Lines

• Parallel Lines

• Perpendicular Lines

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

What is the solution to the systems of equations shown in the graph?

• 1 Solution x=-1/2

• 1 Solution y=-1/2

• Many Solutions

• No Solution

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

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.

What is the solution? 

• 1

• -2

• (1, 2)

• (1, -1)

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions