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NeX [460]
2 years ago
5

What is the equation of the graphed line in point-slope form?

Mathematics
2 answers:
8_murik_8 [283]2 years ago
7 0
First you do the distributive property and then you have to use the inverse property of each equation and after all the math the answer is y-1= 2/3(x-3)


P.S: Next time you may want to add the fractions in the possible answers
Flura [38]2 years ago
5 0
We first need to find the gradient of the line
\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is y= \frac{2}{3}x-1
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There are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Mars2501 [29]

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

6 0
2 years ago
S is the midpoint of TV. TS = 4x - 7, and SV = 5x - 15. Find TS, SV, and TV.​
jasenka [17]

Step-by-step explanation:

TS = 4x - 7

x = -7/4

SV = 5x -15

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= -3

TV = -7/4 + -3

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8 0
1 year ago
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
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Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

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