Answer:
5
Step-by-step explanation:
Calculate slope by choosing two points. (1, 5) and (2, 10)
slope = (10 - 5) / (2 - 1) = 5/1 = 5
Answer:
20
Step-by-step explanation:
1800/90 = 20
Answer:
Both points do not lie on the same line
Step-by-step explanation:
<em>There's no drop down to select from. However, I'll answer the question based on whether Ernie's conclusion is correct or not.</em>
Given
Point 1:
(-1,4) and (0,0)
Slope: m = -4
Point 1:
(2,7) and (3,3)
Slope: m = -4
To determine if this conclusion is right or wrong; first, we need to determine the equation of both points using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
For Point 1
--- ![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
--- ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Slope: ![m = -4](https://tex.z-dn.net/?f=m%20%3D%20-4)
becomes
![y - 4 = -4(x - (-1))](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4%28x%20-%20%28-1%29%29)
![y - 4 = -4(x +1)](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4%28x%20%2B1%29)
![y - 4 = -4x -4](https://tex.z-dn.net/?f=y%20-%204%20%3D%20-4x%20-4)
Add 4 to both sides
![y - 4 + 4= -4x -4 + 4](https://tex.z-dn.net/?f=y%20-%204%20%2B%204%3D%20-4x%20-4%20%2B%204)
![y = -4x](https://tex.z-dn.net/?f=y%20%3D%20-4x)
For Point 2:
--- ![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
--- ![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
Slope: ![m = -4](https://tex.z-dn.net/?f=m%20%3D%20-4)
becomes
![y -7 = -4(x - 2)](https://tex.z-dn.net/?f=y%20-7%20%3D%20-4%28x%20-%202%29)
![y -7 = -4x + 8](https://tex.z-dn.net/?f=y%20-7%20%3D%20-4x%20%2B%208)
Add 7 to both sides
![y -7 +7= -4x + 8 + 7](https://tex.z-dn.net/?f=y%20-7%20%2B7%3D%20-4x%20%2B%208%20%2B%207)
![y = -4x + 15](https://tex.z-dn.net/?f=y%20%3D%20-4x%20%2B%2015)
Comparing both equations:
and ![y = -4x + 15](https://tex.z-dn.net/?f=y%20%3D%20-4x%20%2B%2015)
Both expressions are not equal.
<em></em>
<em>Hence, both points do not lie on the same line</em>