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3 years ago

Write the equation of the line that passes through the given points (0,-4) and (-7,-10

Mathematics

2 answers:

Tasya [4]3 years ago

5 0

Step 1: Find the slope

Point 1 = (0, -4)

Point 2 = (-7, -10)

m = (-10 - - 4) / (-7 - 0) = (-10 + 4) / (-7 - 0) = -6 / -7 = 6/7

m = 6/7

Step 2: Find the y-intercept

Slope-Intercept Form: y = mx + b

-m is the slope

-b is the y-intercept

---Plug in any of the given points as well as the slope into slope-intercept form and solve for b

Point: (-7, -10)

-10 = (6/7)(-7) + b

-10 = -6 + b

b = -4

Step 3: Form the equation

Slope-Intercept Form: y = mx + b

m = 6/7

b = -4

y = 6/7x - 4

Hope this helps!! :)

Anettt [7]3 years ago

4 0

Answer:

14/-7

Step-by-step explanation:

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3 years ago

If f(x) = 2x - 4 and g(x) = x^2+3, find each value. 19. (f - g)(x) 20. (f • g)(x)

just olya [345]

Step-by-step explanation:

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3 years ago

What is the slope of the line y = -5 - 3x ? o 3 O 5 0 -3 0 -8

nexus9112 [7]

Answer:

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Step-by-step explanation:

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3 years ago

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean c

dusya [7]

Answer:

True

Step-by-step explanation:

Given that:

M = 27, sample of n = 36 scores, µ = 30 and σ = 18.

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}$

Given that M = 27, this means that x = 27. Therefore:

$z=\frac{x-\mu}{\sigma}\\\\for \ a\ sample\ size(n):z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{27-30}{18/\sqrt{36} } =\frac{-3}{3}=-1$

This sample mean corresponds to a z-score of z = –1.00.

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3 years ago