Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each system of equations to its graph.

Answer 1

1) y = 2x + 1

y = x + 2 Corresponding with the third graph

2) y = 3x

y = x + 3 Corresponds with the first graph

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 2x + 2 Corresponding with the second equation

Explanation:

The groups of equation are;

1) y = 2x + 1

y = x + 2

The y-intercept of equation (1) = 1

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 2

So at x = 0 y = 1 and at y = 0 x = -1/2 and at x = 2 y = 3

Corresponding with the third graph

The same can be shown with the second equation

2) y = 3x

y = x + 3

The y-intercept of equation (1) = 0

The x-intercept of equation (1) = 0

The slope of equation (1) = 3

So at x = 0 y = 0 and at x = 2 y = 6

Corresponds with the first graph

The same can be shown with the second equation

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 3x + 2

The y-intercept of equation (1) = 2

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 4

So at x = 0 y = 2 and at y = 0 x = -1/2 and at x = 0.5 y = 4

Corresponding with the second equation

The same can be shown with the second equation