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1 year ago

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-

1 answer:

Elena-2011 [213]1 year ago

3 0

$y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)$

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what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14

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3 years ago

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the

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Answer:

P odd number, then 20) = 1 /14

Step-by-step explanation:

P( odd number) = number of odd numbers/ total

number of odd numbers = 3

total = 7

P( odd number) = 3/7

We keep the tile so that there are only 6 tiles left

P (20) = number of 20/ total

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3 years ago

What is the difference between triangluar prism and triangluar pyramid

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3 years ago

Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship

Step2247 [10]

Answer:

$y=\frac{1}{6}x+\frac{307}{6}$

Step-by-step explanation:

Basically the word problem here is trying to get us to find the line using the two points (113,70) and (173,80).

It also tells us by saying that we're modeling the temperature that we're going to be using the y = mx + b formula. m and b are what we'll mainly be looking for.

Let's start by finding m, the slope. We'll be using the point slope formula:

$\frac{y_2-y_1}{x_2-x_1} \\\frac{70-80}{113-173}\\\frac{10}{60}\\ \frac{1}{6}$

So m = 1/6.

Now let's use that m and choose one of the points (I chose (113,70) ) to plug in everything but b in the original formula

$y=\frac{1}{6} x+b\\70=\frac{1}{6}113+b\\420=113+6b\\307=6b\\\frac{307}{6}=b$

so now that we know our b and our m, we can plug those into the original equation to get our answer!

$y=\frac{1}{6}x+\frac{307}{6}$

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3 years ago