Answer:
Option D is your answer.
Step-by-step explanation:
Remember that the x-values are the x coordinates and the y-values are the y coordinates in an ordered pair. Ordered pairs are written like this (x,y).
So for line r, you got (-6,4), (-3,0), and (0,-4).
But you only need two of these pairs to determine slope. Let's do that real quick, by using this formula. (Sorry if it's small)⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
We'll use (-6,4) and ( -3,0).
0 - 4 = -4
-3 - (-6) = -3 + 6 = 3
So slope of line r is -4/3.
Now we'll do the same for line s:
Ordered pairs = (-5,-4), (5,0), and (20,6)
We'll use (-5,-4) and (5,0).
0 - (-4) = 0 + 4 = 4
5 - (-5) = 10
So slope of line s is 4/10 or 2/5.
Now we got to find the option choice that has these as the slopes.
We'll turn each into slope-intercept form.
A)
- Subtract 4x on both sides to get
3y = -4x - 12, then divide 3 on both sides to get y = -4/3 x - 4.
- Subtract 2x on both sides to get
-5y = -2x + 10, then divide -5 on both sides to get y = 2/5 x - 2.
B)
- Add 4x on both sides to get
3y = 4x + 12, the divide 3 on both sides to get y = 4/3 x + 4.
- Subtract 2x on both sides to get
-5y = -2x - 10, divide -5 on both sides to get y = 2/5 x + 2.
C)
- Subtract 4x on both sides to get
-3y = -4x - 12, then divide -3 on both sides to get y = 4/3 x + 4.
- Add 2x on both sides to get
-5y = 2x + 10, then divide -5 on both sides to get y = -2/5 x -2.
D)
- Add 4x on both sides to get
-3y = 4x - 12, then divide -3 on both sides to get y = -4/3 x + 4.
- Add 2x on both sides to get
5y = 2x + 10, then divide 5 on both sides to get y = 2/5 x + 2.
After all that writing we can tell that D is our answer, because both -4/3 and 2/5 appear as slopes.
Sorry this may seem like a lot, but the process really isn't that hard. Hope this helps :)
