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2 years ago

22. Write the equation of the line through (3, 4) and (2, 1) in slope-intercept form. (Hint: Find point-slope form first)

Mathematics

1 answer:

salantis [7]2 years ago

5 0

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (2, 1 )

m = $\frac{1-4}{2-3}$ = $\frac{-3}{-1}$ = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ) , then

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of line

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arsen [322]

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

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$\mu = 40n$

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$n=20$

then,

The required probability will be:

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= $P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )$

= $P(Z>\frac{1000-800}{44.7214} )$

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2 years ago

Grover Elementary School is getting ready for the annual Penny Drive. The table below shows the target goals for the drive at th

Sever21 [200]

The slope of the function is $400.

<h3 /><h3>Definition of slope of a function</h3>

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

y = dependent variable
m = independent variable
x = slope
b = constant

Looking at the total money raised, the amount of money increases by 400. This is the slope.

To learn more about slope, please check: brainly.com/question/2491620

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2 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

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3 years ago

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denis23 [38]

<u>Answer:</u>

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