hello
the points given are (-4, 47) and (2, -16)
let's find the intercept of this equation
![\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ x_2=2 \\ y_2=-16 \\ y_1=47 \\ x_1=-4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5C%5C%20x_2%3D2%20%5C%5C%20y_2%3D-16%20%5C%5C%20y_1%3D47%20%5C%5C%20x_1%3D-4%20%5Cend%7Bgathered%7D)
![\begin{gathered} m=\frac{-16-47}{2-(-4)} \\ m=-\frac{21}{2} \\ slope=-\frac{21}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%3D%5Cfrac%7B-16-47%7D%7B2-%28-4%29%7D%20%5C%5C%20m%3D-%5Cfrac%7B21%7D%7B2%7D%20%5C%5C%20slope%3D-%5Cfrac%7B21%7D%7B2%7D%20%5Cend%7Bgathered%7D)
now, since we know the value of the slope, we can use that in the standard equation on a straight line
the standard equation of a straight line is given as
![\begin{gathered} y=mx+c \\ m=\text{slope} \\ c=\text{intercept} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bc%20%5C%5C%20m%3D%5Ctext%7Bslope%7D%20%5C%5C%20c%3D%5Ctext%7Bintercept%7D%20%5Cend%7Bgathered%7D)
we can pick any of the points and solve for intercept
let's use (2, -16)
![\begin{gathered} x=2 \\ y=-16 \\ y=mx+c \\ m=-\frac{21}{2} \\ -16=-\frac{21}{2}(2)+c \\ -16=-21+c \\ \text{collect like terms} \\ c=-16+21 \\ c=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D2%20%5C%5C%20y%3D-16%20%5C%5C%20y%3Dmx%2Bc%20%5C%5C%20m%3D-%5Cfrac%7B21%7D%7B2%7D%20%5C%5C%20-16%3D-%5Cfrac%7B21%7D%7B2%7D%282%29%2Bc%20%5C%5C%20-16%3D-21%2Bc%20%5C%5C%20%5Ctext%7Bcollect%20like%20terms%7D%20%5C%5C%20c%3D-16%2B21%20%5C%5C%20c%3D5%20%5Cend%7Bgathered%7D)
now we know the value of intercept (c) = 5 and the slope (m) = 21/2
let's use this to write equation of the straight line
![\begin{gathered} y=mx+c \\ y=-\frac{21}{2}x+5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bc%20%5C%5C%20y%3D-%5Cfrac%7B21%7D%7B2%7Dx%2B5%20%5Cend%7Bgathered%7D)
from the calculations above, the equation of the straight line is given as y = -21/2x + 5
Answer: 3 and 19
Whoops, I'm a bit rusty, but numbers are also terms. Hope that also helps.
Answer:
2x^2
Step-by-step explanation:
just took the test
Unlike bony fish, sharks do not have gas-filled swim bladders for buoyancy. Instead, sharks rely on a large liver filled with oil that contains squalene, and their cartilage, which is about half the normal density of bone.
Based on the table showing the percentage of households playing games over the net, the average rate of change from 1999 to 2003 is 3.9% per year.
<h3>What is average rate of change?</h3>
This can be found as:
= (27.9 - 12.3) / 4 years
= 3.9% per year
In 2000, the instantaneous rate of change would be:
= (Rate in 2001 - Rate in 1999) / difference in years
= (24.4 - 12.3) / (2001 - 1999)
= 6.05%
Find out more on the average rate of change at brainly.com/question/2263931.
#SPJ1