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3 years ago

How to write an equation in slope intercept form when given two points?

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

Given 2 points compute the slope m. then write a point slope form

y-y1=m(x-x1). solve this for y

y=mx - mx1 +y1

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Select the linear equation represented in the graph

LiRa [457]

Answer:

Step-by-step explanation:

Since the line in the picture rises 1 unit for every 2 units it moves to the right, it has a slope of 1/2. Also, since it intersects the y axis at (0,3), the y intercept is 3. Therefore, the equation of the line is y=1/2x+3, or answer choice B. Hope this helps!

6 0

3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3)

Inessa05 [86]

Answer:

The y-intercept of the graphed function is (0,-9)

Step-by-step explanation:

The y-intercept of the graphed function is (0,-9) because the y-intercept is where the point where the line meets with the y-axis, and the point where the line meets with the y axis is (0,-9)

Therefore the answer is

(0,-9)

I hope this helped you.

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3 years ago

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A group bought 12 movie tickets that cost a total of $120. The group also bought 3 large drinks and 2 large popcorn.

Agata [3.3K]

Answer:

10 student tickets were bought.

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2 years ago

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The age of three sisters are consecutive integers. The sum of their ages is 45. Calculate their ages.

Ivanshal [37]

Consecutive means right after each other like 1, 2, 3, 4...so if the first sister is x old, then sister 2 is (x+1) old and sister 3 is (x+2) old. So make an equation that says x+(x+1)+(x+2)=45. Simplify and solve for x (get x alone.)

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3 years ago

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