Question

Drag and drop each pair of points into the correct category to show whether each set of points is on a line thathas a positive slope, negative slope, zero slope, or undefined slope.(-7, 3) and (-7, 11)(2, 6) and (11, -3)(-2, 7) and (8. 7)(2, 3) and (-3, 11)(5, 1) and (8,5)

Answer 1

We need to find the slope of the lines passing through each pair of point and see which category they fit in.

(-7, 3) and (-7, 11)

The slope is

(2, 6) and (11, -3)

The slope is

`(-3-6)/(11-2)=-(9)/(9)=-1`

(-2, 7) and (8. 7)

The slope of the line between these two points is

`(7-7)/(8-(-2))=0`

(2, 3) and (-3, 11)

The slope is

`(11-3)/(-3-2)=(8)/(-5)`

(5, 1) and (8,5)

The slope is

`(5-1)/(8-5)=(4)/(3)`

Having found the slope of lines between all pairs, we are now in a position to fill in the table.

(-7, 3) and (-7, 11) = undefined.

(2, 6) and (11, -3) = slope is negative

(-2, 7) and (8. 7) = slope is zero

(2, 3) and (-3, 11) = slope is negative

(5, 1) and (8,5 )= slope is positive.