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3 years ago

Write the equation of the line, in slope intercept form, that passes through the point (9,-5) and has a slope of -2

Mathematics

1 answer:

elixir [45]3 years ago

4 0

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute (9, - 5) into the partial equation

- 5 = - 18 + c ⇒ c = - 5 + 18 = 13

y = - 2x + 13 ← equation in slope- intercept form

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2 years ago

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

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2 years ago

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Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

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