Step: 1

Plot the points on the graph and draw a line through them.

Step: 2

Slope = r i s e r u n = - 7 3

Step: 3

The slope of the line is - 7 3 .

Correct Answer is : Graph 2, Slope = - 7 3

Step: 1

Slope of the line passes through the two points (x _{1}, y _{1}) and (x _{2}, y _{2}) is, m = y 2 - y 1 x 2 - x 1 .

Step: 2

The coordinates of the points A and B are (- 3, - 3) and (3, - 3).

[From the graph.]

Step: 3

Slope of the line, AB = - 3 + 3 3 + 3

[(x _{1}, y _{1}) = (- 3, - 3) and (x _{2}, y _{2}) = (3, -3).]

Step: 4

= 0 6 = 0

[Simplify.]

Step: 5

The slope of the line AB is 0.

Correct Answer is : 0

Step: 1

Slope m = 2

Step: 2

One point on the line is (2, 0).

Step: 3

Slope = 2 = c h a n g e i n y c h a n g e i n x

Step: 4

Choose some value for x _{1} and then find corresponding y _{1}.

Step: 5

If x _{1} = 0, 2 = 0 - y 1 2 - 0

Step: 6

0 - y _{1} = 4

Step: 7

Step: 8

So, (0, - 4) is another point on the line.

Step: 9

Indicate these two points on the line and draw a straight line passing through it as shown in Graph 4.

Step: 10

So, Graph 4 represents a line having slope 2 and (2, 0) on it.

Correct Answer is : Graph 4

Step: 1

The coordinates of the point P are (0, 2) and coordinates of the point Q are (- 1, 0).

Step: 2

Slope = c h a n g e i n y c h a n g e i n x

[Use the formula.]

Step: 3

= 0 - 2 - 1 - 0

[Substitute the values.]

Step: 4

= 2

[Simplify.]

Step: 5

The slope of the line PQ is 2.

Correct Answer is : 2

Step: 1

The coordinates of the point P are (0, 2) and coordinates of the point Q are (- 3, 0).

Step: 2

Slope = c h a n g e i n y c h a n g e i n x

[Use the formula.]

Step: 3

= 0 - 2 - 3 - 0

[Substitute the values.]

Step: 4

= 2 3

[Simplify.]

Step: 5

The slope of the line PQ is 2 3 .

Correct Answer is : 2 3

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