Answer: (f)
Step-by-step explanation:
Given
Line that passes through
and ![(0,0)](https://tex.z-dn.net/?f=%280%2C0%29)
Using two point form, equation of a line is given by
![\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Insert the values
![\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-0%7D%7Bx-0%7D%3D%5Cdfrac%7B3-0%7D%7B-%5Cfrac%7B1%7D%7B2%7D-0%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7By%7D%7Bx%7D%3D-6%5C%5C%5C%5C%5CRightarrow%20y%3D-6x)
Thus, option (f) is correct
Answer:
The answer is y = 4x - 8.
Step-by-step explanation:
☆Remember: ![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
☆Slope-intercept: ![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
---
☆We need to find the slope first. So just plug in according to the slope formula!
![m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B0%20-%208%7D%7B2%20-%204%7D%20%20%3D%20%20%5Cfrac%7B%20-%208%7D%7B%20-%202%7D%20%20%3D%204)
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
![y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: }](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%5C%5C%208%20%3D%204%284%29%20%2B%20b%20%5C%5C%208%20%3D%2016%20%2B%20b%20%5C%5C%20%20%20%5Cfrac%7B%20-%2016%20%3D%20%20-%2016%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%7B%20-%208%20%3D%20b%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%20)
---
☆Now all we need to do is plug in and we are done!
![y = 4x - 8](https://tex.z-dn.net/?f=y%20%3D%204x%20-%208)
▪Happy To Help <3
The graph is shown below:
<h3>What is Graph?</h3>
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
h(t) = -16t² + 72
For t=-1,
h(-1) = -16 * (-1)² +72
h(-1) = -16 +72= 56
Ordered pair is ( -1, 56)
For t=1,
h(1) = -16 * (1)² +72
h(1) = -16 +72= 56
Ordered pair is ( 1, 56 )
For t=2,
h(2) = -16 * (2)² +72
h(2) = -64 +72= 8
Ordered pair is ( 2, 8 )
For t=3,
h(2) = -16 * (3)² +72
h(2) = -144 +72= -72
Ordered pair is ( 3, -72)
Learn more about this concept here:
brainly.com/question/17408235
#SPJ1
Answer:
A= 10
Step-by-step explanation:
[10 + 2/360˚(10)]
To use it, we must solve for 1 variable
it seems to be that they want us to solve for x in firsr equation
x+1/9y=11
minus 1/9y from both sides
x=11-1/9y
sub 11-1/9y for x in other equation
18(11-1/9y)+2y=90
distribute
198-2y+2y=90
198=90
false
therefor there is no solution
(if we were to graph them they would be paraalell, if we rewrote them,they look like this: 18x+2y=192 and 18x+2y=90, obviously, there is no solution)
answer is no solution