Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points
and
is given as:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,
![x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%204%5C%5Cx_%7B2%7D%20%3D%206%5C%5Cy_%7B1%7D%20%3D%203%5C%5Cy_%7B2%7D%20%3D%204.5)
Formula for slope is:
![m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7B4.5-3%7D%7B6-4%7D%5C%5C%5CRightarrow%20m%20%3D%20%5Cdfrac%7B1.5%7D%7B2%7D%5C%5C%5CRightarrow%20m%20%3D%20%5Cdfrac%7B3%7D%7B4%7D)
Now, the equation of line becomes:
![y=\dfrac{3}{4}x+c](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B4%7Dx%2Bc)
Putting the point (4,3) in the above equation to find <em>c</em>:
![3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0](https://tex.z-dn.net/?f=3%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%204%2Bc%5C%5C%5CRightarrow%203%3D3%2Bc%5C%5C%5CRightarrow%20c%20%3D0)
So, final equation of given function is:
![y=\dfrac{3}{4}x](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B4%7Dx)
OR
![4y=3x](https://tex.z-dn.net/?f=4y%3D3x)
As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is
.
Answer:
An angle can be named in different ways:
•by a number or letter written inside the angle.
•by the name of the vertex.
•by the vertex and a point on each ray.
Simplify both sides to compare:
6^2 - 2^2 = 36-4 = 32
4(6+2) = 4 x 8 = 32
they are equal to each other.
Answer: B. =
Answer:
Sam
Step-by-step explanation:
Patty: 325.75/8 = 40.72/hr
Quinn: 125.5/3 = 41.83/hr
Reece: 74.85/2 = 37.43/hr
Sam: 215.25/5 = 43.05/hr
Answer:
A (3, 1/2) B (-3/2, -7/4) C (7/5, 9/2)
Just a helpful tip for next time you need to graph something, you can look up "Graph Generator" and click on one of the first couple links and then you can put in your points. It makes it easier on the brain to be able to see and understand an accurate, and clean graph with the points on it.