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2 years ago

Find an equation of the line passing through the points (–3, –5) and (6, –2).

Mathematics

2 answers:

BabaBlast [244]2 years ago

3 0

Answer:

y=1/3x-4

Step-by-step explanation:

1. Use the slope formula to find the slope of the two coordinates.

y2-y1/x2-x1

-2--5/6--3

3/9 = 1/3

The slope is 1/3

2. Choose one of the coordinates and plug them and the slope into the point-slope formula

y-y1=m(x-x1)

y+2=1/3(x-6)

3. Distribute and simplify.

y+2=1/3x-2

y=1/3x-4

nlexa [21]2 years ago

3 0

Answer: y=1/3x-4

Explanation:

Begin by finding the slope of the line. You can do this by using the given ordered pairs and plugging them into the slope formula, y^2-y^1/x^2-x^1. Plugging them would appear as -2-(-5)/6-(-3). The resulting math would be 3/9 or 1/3 when simplified. Using the slope-intercept form, we can plug in the slope to make it y=1/3x+b. Choose any ordered pair to plug into the equation. I'm going to use (-3,-5). Plugging this in would result with -5=1/3(-3)+b. Multiply 1/3 and -3 to get -5=-1+b. Add -1 to both sides to get b=-4.

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Amy drives her car until the gas gauge is down to 1/8 full, then she fills the tank to capacity by adding 14 gallons. What is th

Kazeer [188]

Answer:

Amy's car tank capacity is 16 gallons.

Step-by-step explanation:

Let the capacity of the tank be 'x'

Given:

Amount of gas in the car till it is refilled = $\frac{1}{8}\times x = \frac{1}{8}x \ gallons$

Amount of gas added = 14 gallons.

We need to find the capacity of the tank.

Solution:

Now we can say that

Total Capacity of the tank is equal to sum of Amount of gas in the car till it is refilled and Amount of gas added.

framing in equation form we get;

$x=\frac{x}{8}+14$

Combining the like terms we get;

$x-\frac{x}{8}=14$

Now making the denominators common we will use L.C.M.

$\frac{8x}{8}-\frac{x\times1}{8\times1}=14\\\\\frac{8x}{8}-\frac{x}{8}=14\\\\\frac{8x-x}{8}=14\\\\\frac{7x}{8}=14$

Now multiplying both side by 8 we get;

$\frac{7x}{8}\times 8=14\times8\\\\7x = 112$

Now dividing both side by 7 we get;

$\frac{7x}{7}=\frac{112}{7}\\\\x=16\ gallons$

Hence Amy's car tank capacity is 16 gallons.

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3 years ago

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 10 unit

kozerog [31]

Answer:

Step-by-step explanation:

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3 years ago

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Rina8888 [55]

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2 years ago

Read 2 more answers

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Brrunno [24]

Answer:

Step-by-step explanation:

y-|x|+3

y=|x|+3

vertex=(0,3)

y=|x-4|-7

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