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natulia [17]
4 years ago
15

The points (0, -6) and (1, -3) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
1 answer:
Whitepunk [10]4 years ago
7 0

First, find the slope (m): m = \frac{y2 - y1}{x2 - x1} = \frac{-6 - (-3)}{0 - 1} = \frac{-3}{-1} = 3

Next, input ONE of the points (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁)   <em>I am choosing to use (0, -6)</em>

y - (-6) = 3(x - 0)

Then, solve for y:

 y + 6 = 3x

       y = 3x - 6

Answer: y = 3x - 6

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8 0
3 years ago
Plz help fast solve this
torisob [31]

Answer:

3

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2

Step-by-step explanation:

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2. 3 times the sum of a number x and 13
torisob [31]

Answer:

(x+13)2.3                 if simplifying.    

Step-by-step explanation:

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8 0
4 years ago
The height of a triangle is 8 m more than the length of the base. The area of the triangle is 21 m^2. Find the height of the tri
Alexus [3.1K]

Answer:

<h2>height = 12 cm</h2>

Step-by-step explanation:

Area of a triangle is given by

A =  \frac{1}{2} bh

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

21 =  \frac{1}{2} (h - 8)h

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

<h3>height = 12 cm</h3>

Hope this helps you

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