Consider the line that passes through each pair of given points, and decide what type of slope the line has. (2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

(2, 4) and (5, 1)

The slope is negative.

(3,5) and (-1,2)

The slope is positive

(-7, 8) and (-7,0)

division by zero makes the slope undefined.

(6.-3) and (4, -3)

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign