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madreJ [45]
3 years ago
5

OK so I have two questions to answer. So the first picture is question five in the second picture is question six.

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

The slope is 2.25

The y-intercept is 3

Step-by-step explanation:

Assuming from the cut off picture, that we need to find the slope of ...

y=2.25x +3

y=mx+b form makes it easy to identify the slope and the y-intercept.

m is the slope and b is the y-intercept. Anything number that is in place of m, is the slope; and any nother in place of b is the y-intercept.

In that case, 2.25 is the slope and 3 is the y-intercept

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Find the slope of the line that passes through (3, 7) and (6, 8).
OLEGan [10]

Answer:

Slope = 1/3

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for slope M of equation of line</em>

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

<em>Step 3: Solve the system of equations in step 2 for M</em>

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

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An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.
brilliants [131]

The 15th term of the arithmetic sequence a_{15} = 64

Option B is correct

The nth term of an arithmetic sequence is given as:

a_{n} = a + (n - 1)d

The first value, a = 22

a_8 = a+(8 - 1)d\\a_8 = a + 7d

Since a_8 = 43

43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3

The common difference, d = 3

a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0
2 years ago
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