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andreyandreev [35.5K]
3 years ago
9

What is the equation for the line?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
In order to find the equation of a line, you would have to use the equation y=mx+b. 

First, find the slope: \frac{y_{2}- y_{1} }{x_{2} x_{1} }
There is (1,8) and (2, 16) so plug that in 16-8/2-1 = 8. That's your slope! (Or the m)

Next in order to find b, you have to plug in a point:
y=8x+b
Take (1,8) and plug it in for x and y:
8=8(1)+b
b=0
Your y intercept is 0 (which you can also see on the graph)

So your answer is: y=8x
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two cars leave Memphis from exactly the same spot. one traveling north at 70 mph and the other traveling south at 65 mph. how lo
Gemiola [76]

Answer:

2 hours

Step-by-step explanation:

270 = (70+65) * t

270= 135t

t = 2

8 0
3 years ago
A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
What is the surface area?
frosja888 [35]
98cm^2 - bigger triangles are 28 each, bottom one is 14. (28 x 3) + 14=98
3 0
3 years ago
What is the value of a in the equation 38+ B equals 54 would b equals nine
Igoryamba

Answer:

If you want to know what b is then it is 16

Step-by-step explanation:

38 + b = 54

54- 38 = 16

38 + 16= 54

4 0
2 years ago
Please can you answer this!!!
rewona [7]

Answer:

26.35 °C

Step-by-step explanation:

To find, how much the maximum daily temperature is higher than that of minimum, we'll subtract both.

=> 21.85 - (-4.7)

=> 21.85 + 4.7

=> 26.35 °C

8 0
3 years ago
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