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3 years ago

9y=-3x+5 how do I find the slope for this?

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

The slope is -1/3 and the y intercept is 5/9

Step-by-step explanation:

To find the slope, we need to put the equation in the form y= mx+b

9y=-3x+5

We will divide by 9 to isolate y

9y/9=-3x/9+5/9

y = -1/3 x + 5/9

The slope is -1/3 and the y intercept is 5/9

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A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

AlexFokin [52]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)$

now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,

$\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft$

7 0

4 years ago

Translate the sentence into an equation.

deff fn [24]

Answer:

3(b+7)=6

Sum means adding, so 3 is multiplied by (b+7)

4 0

3 years ago

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musickatia [10]

Answer:

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7 0

3 years ago

12 + 3 to the power of 2 + 50<br><br> (using PEMDAS)

Musya8 [376]

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8 0

3 years ago

Read 2 more answers

A retailer buys a coat in bulk at a unit price of $45. The coat is marked up to 28% to sell in the store. What is the price of t

Lostsunrise [7]

Answer:

57.60

Step-by-step explanation:

If the coat is marked up 28%, then the cost is increased by 28% to produce the selling price.

SP = 45 + 28/100 * 45

SP = Selling Price

SP = 45 + 28*45 / 100

SP = 45 + 1260 / 100

SP = 45 + 12.60

SP = 57.60

Answer: The selling price is 57.60

8 0

4 years ago