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Mumz [18]
3 years ago
6

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

es.

Mathematics
2 answers:
ehidna [41]3 years ago
7 0

Answer: y+2=3(x+1)

so the first box you would put 2 and then the second box you would put 3!

RideAnS [48]3 years ago
5 0

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})} from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as \frac{-2-10}{-1-3} =\frac{-12}{-4} =3


Feel free to ask further questions, and Happy Halloween!


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The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
On a circle of radius 10 feet, what angle would subtend an arc of length 1 feet?
Alenkasestr [34]
\bf s=\cfrac{r\theta \pi }{180}\quad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
s=\textit{arc's length}\\
--------------\\
r=10\\
s=1
\end{cases}
\\\\\\
1=\cfrac{10\cdot \theta\cdot \pi }{180}\impliedby \textit{solve for }\theta
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Step-by-step explanation:

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