A line passes through the point, (−8,7) and has a slope of −5/4. Please help...

Mathematics

1 answer:

o-na [289]3 years ago

8 0

Answer:

5x + 4y + 12 = 0

Step-by-step explanation:

Start with the point-slope equation of a straight line: y - k = m(x - h):

Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).

We must put this equation into "standard form" Ax + By + C = 0.

Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or

4y - 28 + 5x + 40 = 0

Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.

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vredina [299]

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3 years ago

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Aleonysh [2.5K]

Answer:

$23271.49

Step-by-step explanation:

The function $C(t) = C(1 + r)^{t}$ models the rise in the cost of a product that has a cost of C today, subject to an average yearly inflation rate of r for t years.

Now, if the average annual rate of inflation over the next 8 years is assumed to be 2.5% then we have to find the inflation-adjusted cost of a $19100 motorcycle after 8 years.

Therefore, the cost will be $C(8) = 19100(1 + \frac{2.5}{100} )^{8} = 23271.49$ dollars. (Answer)