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2 years ago

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Mathematics

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UkoKoshka [18]2 years ago

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3 hours and 3 minutes

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HELP ASAP

Naily [24]

Answer:

$y+4 = -\frac{1}{3} (x-1)$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ to find the slope. Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}$

So, the slope is $-\frac{1}{3}$ .

2) Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.

$y-(-4) = -\frac{1}{3} (x-(1))\\y+4 = -\frac{1}{3} (x-1)$

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3 years ago

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3 years ago

When subtracting decimals with the same sign you ______________.

Rus_ich [418]

Hey there!

$Answer:\boxed{\text{Line up the decimal}}$

$Explanation:$

When always adding or subtracting, you always have to line up the decimal.

When subtracting decimals with the same sign you Line up the decimal.

Hope this helps!

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3 years ago

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In a survey of 225 art students 28% reported that their favorite color is blue. What is the margin of error for the sample?

ipn [44]

Margin of error is important in determining the probability as it gives realistic data for the distribution. The formula to be followed for margin of error is m% = z* sqrt (p*(1-p))/n where p is the % positive outcome, n is the sample size and z* is a constant dependent to % confidence level. Substituting, m% = z* (0.03). Level of confidence is not given but assuming at95% CF, m% = 6%

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3 years ago

A jar contains 3/10 blue 2/10 white and 19/100 red marbles the rest are yellow what fraction represents the number of yellow?

andrew-mc [135]

31/100 represents the yellow marbles because 3/10 = 30/100, 2/10 = 20/100, and 19/100.It all adds up to 69/100 marbles.

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3 years ago