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pychu [463]
3 years ago
7

A line passes through the point (-2, 2) and has a slope of – 6.

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

y = -6x - 10

Step-by-step explanation:

(-2, 2), m = -6

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = -6(x + 2)

y - 2 = -6x - 12

y = -6x - 10

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-15

Step-by-step explanation:

when adding two negative numbers, just add like normal and put a negative sign.

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IRINA_888 [86]

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What is the constant in the expression 6a + 2b + 5?
goldenfox [79]

Answer:

5 is the constant since it doesn't have any variable with it

Step-by-step explanation:

Hope this helps!

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kotykmax [81]

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Step-by-step explanation:

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3 years ago
Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

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

Where a is the leading coefficient.

We are given the following function:

y =-2x^2-4x+7

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

y =-2(x^2+2x)+7

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

y =-2(x^2+2x+1- 1)+7

Taking out the -1:

y =-2(x^2+2x+1)+2+7

Factoring the trinomial and operating:

y =-2(x+1)^2+9

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0
3 years ago
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