Question

Use the graph to complete the statements.

The slope of JK is
The slope of PQ is
The lines are

Answer 1

Use the graph to complete the statements.The slope of is –5/4–6/54/55/6.The slope of is –5/4–6/54/55/6.The lines are parallelperpendicularneither parallel nor perpendicular.

Explanation:

Answer 2

The slope of JK is -6/5.

The slope of PQ is 12/ 15.

These lines are neither parallel nor perpendicular.

Explanation:

From the graph shown,

It can be determined that the point J is (0,5) and K is (10,-7).

The point P is (-5,-8) and Q is (10,4).

The formula for slope is given by,

Slope =
`(y2-y1)/(x2-x1)`

To find the slope of line JK :

J ⇒ (0,5) = (x1,y1)

K ⇒ (10,-7) = (x2,y2)

Slope of JK =
`(-7-5)/(10-0)`

⇒
`(-12)/(10)`

⇒
`(-6)/(5)`

∴ The slope of JK is -6/5.

To find the slope of line PQ :

P ⇒ (-5,-8) = (x1,y1)

Q ⇒ (10,4) = (x2,y2)

Slope of PQ =
`(4+8)/(10+5)`

⇒
`(12)/(15)`

∴ The slope of PQ is 12/ 15.

To find the relation between two lines :

• The parallel lines have same slope.
• The perpendicular lines have a slope of negative reciprocal.

∴ These lines are neither parallel nor perpendicular.