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Alona [7]
3 years ago
5

Find the equation of the straight line that passes through the points (1, 10) and (3, 2)

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (2-10)/(3-1)

   =-8/2

   = -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

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A lab at the DeBakey Institute orders 150 rats a week for each of the 52 weeks in the year for experiments that the lab conducts
FromTheMoon [43]

Answer:

a. The expected or average costs for all weekly rat purchases is $20.00

Step-by-step explanation:

a. A mean value of $20.00 means that over a period of 52 weeks, the company can expect to spend $20.00 per week on rat purchases.

b. This is incorrect since individual values don't interfere in the mean. For instance, if half the weeks had a cost of $19.00 and the other half had a cost of $21.00, the mean cost would still be $20.00 even though no particular week had a $20.00 cost

c. Incorrect. The median is the central value in a distribution; the median and the mean are not necessarily the same.

d. Incorrect, same as item b.

7 0
3 years ago
Question 2 options:
Vikki [24]

Answer:

slope

point-slope form

correlation

Step-by-step explanation:

If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the  <u>slope</u>, m, you can write the equation of the line in  <u>point-slope form</u>, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear  <u>correlation</u>.

The slope, meaning how steep a line is, is represented by the variable m for linear equations.

y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).

Correlation is the relationship between things, like 2 variable data.

8 0
3 years ago
5 + (-3) is units from 5 in which direction
Ymorist [56]

Answer:

Step-by-step explanation:

Starting at 5 on the number line, 5 + (-3) is 3 units to the left of 5; that is, you are at 2 on the number line.

4 0
3 years ago
A car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft
lana66690 [7]

Answer:. 95.33 ft/sec

Multiply 65 by 5280 to get 343200 feet per hour. Then Divide by 3600. There are 60 minutes in an hour, and 60 seconds in a minute.

343200 ÷ 3600 = 95.333

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
168 is what per cent of 420
vladimir2022 [97]

<em>420×p% = 168</em>

<em>420p/100 = 168</em>

<em>420p = 16800</em>

<em>p = 16800/420</em>

<em>p = 40%</em>

<em />

4 0
3 years ago
Read 2 more answers
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