Answer:
A) slope is 2/5 (positive slope)
B) slope is -2/6 (negative slope)
C) Yes, with different points, the slope remains the same.
Answer:
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.
