Question

Tell if slopes are parallel, perpendicular, or neither.
(4.5,3.2) and (-2.5,0.2)

Answer 1

Neither

Explanation:

The complete question is

Tell if the slopes are parallel, perpendicular or neither.

Line 1: through (4.5, 3.2) and (-2.5, 0.2).

Line 2: through (3, 3) and (10, 0)

we know that

The formula to calculate the slope between two points is equal to

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

Find the slope Line 1

we have the points

(4.5,3.2) and (-2.5,0.2)

substitute in the formula

`m=(0.2-3.2)/(-2.5-4.5)`

`m=(-3)/(-7)`

`m_1=(3)/(7)`

Find the slope Line 2

we have the points

(3,3) and (10,0)

substitute in the formula

`m=(0-3)/(10-3)`

`m=(-3)/(7)`

`m_2=-(3)/(7)`

step 3

Compare the slopes

`m_1=(3)/(7)`

`m_2=-(3)/(7)`

so

1) The slopes are not equal, that means that the lines are not parallel

2) The slopes are not opposite reciprocal, that means that the lines are not perpendicular

therefore

The slopes are neither