Question

Find the slope of the line between each set of ordered pairs. Then, determine which pairs of

lines are parallel, perpendicular, or neither (Finding Slope Given Two Points) (Slopes of Parallel and
Perpendicular Lines)

A. (3, 4) and (1,6)
B.(-6,7) and (-3,6)

Answer 1

Agreed with guy above thanks

Answer 2

A: -1

B: -1/3

they are neither parallel or perpendicular.

Explanation:

A:

The slope is the gradient, which can be found by the change in y/ change in x.

For A, the change in y is from 4 to 6 = 2, and the change in x is from 3 to 1 = -2.

therefore by the equation above we have 2/-2 = -1 is the slope.

B:

Using the same method as before,

Change in Y is from 7 to 6 = -1

Change in X is from -6 to -3 = 3

So the gradient is -1/3

For them to be parallel, the gradients would have to be the same, which they are not. To be perpendicular, the gradients would have to be the negative reciprocal of each other, which they aren't, so they are neither perpendicular or parallel.

Hope this helps, let me know if you have any questions :)