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grandymaker [24]
3 years ago
15

What is the slope intercept from of the equation of the line that passes through (7, -5) and (3, -9)

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

B. y = x - 12

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{5 - 9}{-7 + 3} = \frac{-4}{-4} = 1

Then use the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done faster that way. It does not matter which ordered pair you choose:

−9 = 3 + b

−12 = b

y = x - 12

________________________________________________________________________________________________

−5 = 7 + b

−12 = b

y = x - 12

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

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