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3 years ago

Determine the slope of the line given the graph 3,-3 and 0,2

Mathematics

1 answer:

BigorU [14]3 years ago

7 0

Answer:

$\displaystyle m = \frac{-5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Reading a coordinate plane
Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

Step 1: Define

Identify points

Point (0, 2)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{2 + 3}{0 - 3}$
Simplify: $\displaystyle m = \frac{-5}{3}$

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Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or

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4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

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ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

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Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

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Therefore,

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