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Vadim26 [7]
3 years ago
13

Write an equation in slope-intercept form of a line that passes through the point

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

y=-4x+2

Step-by-step explanation:

slope intercept form: y=mx+b

parallel lines have the same slope (-4 in this case)

plug in the point (0,2) to the new equation y=-4x+b

2=-4(0)+b  --> b=2

final answer: y=-4x+2

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Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

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                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

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-Simplification

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-Result

                 c = √13

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6.- Find the foci

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B is basically showing the Pythagorean theorem does not work on the triangle's side lengths.

The pythagorean theorem is supposed to work for all right triangles

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