Step: 1

[Write the equation in slope- intercept form.]

Step: 2

The slope is - 3 and y -intercept is 1.

[m = - 3, b = 1.]

Step: 3

Plot the point (0, b ) when b is 1.

Step: 4

Use the slope to locate a second point on line.

Step: 5

Step: 6

Draw a line through the two points.

Step: 7

Graph of the equation y = - 3x + 1 matches with Graph 2.

Correct Answer is : Graph 2

Step: 1

[Write the equation in slope-intercept form.]

Step: 2

The slope is 1 3 and y -intercept is 2.

Step: 3

Plot the point (0, 2).

Step: 4

From (0, 2), move 1 unit up and 3 units right. You get another point (3, 3).

Step: 5

Draw a line through these two points.

Step: 6

Graph of the equation x - 3y = - 6 matches with Graph 2.

Correct Answer is : Graph 2

Step: 1

The x -coordinate is always - 2, regardless of the value of y .

Step: 2

The graph of the equation x = - 2 is a vertical line 2 units to the left of the y -axis as shown in the following graph.

Step: 3

The above graph matches with the graph 3.

Correct Answer is : Graph 3

Step: 1

Step: 2

Choose values for x :

Step: 3

When x = 0, y = 1 3 (0) - 1 = - 1

[Substitute x = 0 in equation.]

Step: 4

When x = 3, y = 1 3 (3) - 1 = 0

[Substitute x = 3 in equation.]

Step: 5

When x = - 3, y = 1 3 (- 3) - 1 = - 2

[Substitute x = - 3 in equation.]

Step: 6

The points are, (0, - 1), (3, 0), and (- 3, - 2).

Step: 7

Draw a line passing through these points.

Step: 8

The above graph matches with Graph 2.

Correct Answer is : Graph 2

Step: 1

Calculate the values of y for certain values of x as shown in the following table.

Step: 2

Plot the points on the graph.

Step: 3

Therefore, Graph 1 represents the equation y =2x -3.

Correct Answer is : Graph 1

Step: 1

[Multiply by 2 on both sides of the equation.]

Step: 2

When x = 0, y = 2 3 (0) - 2 = - 2

[Substitute x = 0 in the equation.]

Step: 3

When x = 3, y = 2 3 (3) - 2 = 0

[Substitute x = 3 in the equation.]

Step: 4

Thus, the points (0, -2) and (3, 0) are the solutions of the equation y 2 = x 3 - 1.

Step: 5

Draw a line passing through these points.

Step: 6

Therefore, graph 1, represents the equation y 2 = x 3 - 1.

Correct Answer is : Graph 1

Step: 1

Step: 2

When x = 0, y = - 3 4 (0) + 3 = 3

[Substitute x = 0 in the equation.]

Step: 3

When x = 4, y = - 3 4 (4) + 3 = 0

[Substitute x = 4 in the equation..]

Step: 4

Thus, the points (0, 3) and (4, 0) are the solutions of the equation y = - 3 4 x + 3.

Step: 5

Draw a line passing through these points.

Step: 6

Therefore, graph 1 represents the equation y = - 3 4 x + 3.

Correct Answer is : Graph 1

Step: 1

Step: 2

When x = 2, y = - 1 2 (2) = - 1

[Substitute x = 2 in the equation.]

Step: 3

When x = - 2, y = - 1 2 ( - 2) = 1

[Substitute x = - 2 in the equation.]

Step: 4

Thus, the points (2, - 1) and ( - 2, 1) are the solutions of the equation y = - 1 2 x .

Step: 5

Draw a line passing through these points.

Step: 6

Therefore, graph 2 represents the equation y = - 1 2 x

Correct Answer is : Graph 2

Step: 1

Step: 2

When x = 3, y = 4 3 (3) - 1 = 3

[Substitute x = 3 in the equation.]

Step: 3

When x = 0, y = 4 3 (0) - 1 = - 1

[Substitute x = 0 in the equation.]

Step: 4

Thus, the points (0, - 1) and (3, 3) are the solution of the equation y = 4 3 x - 1.

Step: 5

Draw a line passing through these points.

Step: 6

Therefore, graph 4, represents the equation y = 4 3 x - 1.

Correct Answer is : Graph 4

Step: 1

[Simplify the equation.]

Step: 2

The y - coordinate is always - 0.8, regardless of the value of x .

Step: 3

Thus, the graph of the equation y = - 0.8 is a horizontal line which is 0.8 units below the x -axis as shown in the graph.

Step: 4

Therefore, graph 2 represents the equation y = - 4 5

Correct Answer is : Graph 2

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