Can someone answer this for me.

A)  slope is 2/5 (positive slope)

B) slope is -2/6 (negative slope)

C) Yes, with different points, the slope remains the same.

For Part C Yes, do you get the same slope because the slope is constant and it is going in a straight line.

Step-by-step explanation:

I'll start by explaining Part A first then C

For Part A we are given the points  (-3,1) and (2,3)

To find the slope using the points use the slope formula.

(y1- y2) / (X1- X2) = m(slope)

Substitue Values

(1-3)/(-3-2) = slope

-2/-5 = slope

Which is just 2/5 since a negative divided by a negative is a positive value.

This is for part C

If you pick the two new points (0,2) and (-5,0) we can use the slope formula again

(y1- y2) / (X1- X2) = m(slope)

Just substitute.

(2-0) / ( 0--5) = m

Then Solve.

2 / 5 = m

So the slope is 2/5

As we can see if we pick two different points on the line we still get the same slope.

Finally Part B just do the same for Part A

Points: (3,0) and (-3,2)

Use the slope formula

(0-2) / (3--3)

-2/ 6

Simplify

-1/3

So the slope is -1/3.