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3 years ago

How do you determine the slope interscept equation of two given pointa

1 answer:

4 0

Choose your points, go up from the y intercept to a chosen x point. Then go over the the x point. Up and over is the formula I use.

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write a system of linear equations that has only one solution. solve the system of equations in two ways.

Iteru [2.4K]

X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42

7 0

3 years ago

HELP PLS!

Zigmanuir [339]

Answer:

x = 2 is the correct answer :)

5 0

2 years ago

How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t

ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

r = radius length
π ≈ 3.14

Area of large pizza:

$\pi *r^{2} =3.14*6^{2} =3.14*36=113.04$

Area of small pizza:

$\pi *r^{2} =3.14*4^{2} =3.14*16=50.24$

Difference in area:

$113.04-50.24=62.8$

4 0

2 years ago

What is the slope of this line? A: - 1/3 B: - 2/3 C: 2/3 D: 1/3

bezimeni [28]

Answer:

The answer is C. 2/3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

3 years ago

Read 2 more answers