4 years ago

Plz help

Mathematics

1 answer:

Ghella [55]4 years ago

7 0

Answer:

Step-by-step explanation:

Perpendicular lines always have reciprocal slopes. The slope for line L is 2/3 found by converting 2x - 3y = 5 into y = 2/3x - 5/3. This means the line M will have slope -3/2. Find the equation of the line using point slope form.

y--10 = -3/2(x - 2)

y+10 = -3/2x + 3

3/2x +y = -7

Since the leading term cannot have a negative or fraction, multiply the equation by 2.

It becomes 3x + 2y = -14.

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miskamm [114]

Answer:

$\implies y=(x-2)^2-6$

Step-by-step explanation:

Vertex form of a quadratic equation:

$y=a(x-h)^2+k$

where:

(h, k) is the vertex
a is some constant

Given vertex: (2, -6)

⇒ h = 2 and k = -6

Substitute the values of h and k into the formula:

$\implies y=a(x-2)^2+(-6)$

$\implies y=a(x-2)^2-6$

As we have not been given a value for the constant $a$ , assume this is 1.

Therefore, the vertex form of the quadratic function with vertex (2, -6) is:

$y=(x-2)^2-6$

Learn more about vertex form here:

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