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4 years ago

15

Describe 3 ways to determine the slope of a line and the similarities and differences between the methods.

1 answer:

Irina18 [472]4 years ago

5 0

Slope = m
-If 2 points are given, then y2-y1/x2-x1 (you can choose any point as 1 or 2)
-If you have the equation of the line in the form y = mx + b, the 'm' is the slope.
-If the standard formula is give as Ax + By = C, arange it as the slope-intercept form (y = mx +b), where Ax is mx, By is y, and C is b, (remember that the signs change as you switch sides) and you'll get the slope using the method above.

Hope that helped ! :)

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-2, -1)

Point (-8, 11)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{11+1}{-8+2}$
[Fraction] Add: $\displaystyle m=\frac{12}{-6}$
[Fraction] Divide: $\displaystyle m=-2$

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