Find the slope of the line that passes through (10,9) and (6, 10).
1 answer:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, -4)
Point (2, 6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [Slope Formula]:
- Evaluate Addition:
- Simplify:
Answer:
m <
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
Given a quadratic equation in standard form, y = ax² + bx + c
Then the value of the discriminant determines the nature of the roots
• For 2 real roots then b² - 4ac > 0
Given
y = 3x² + 7x + m ← in standard form
with a = 3, b = 7 and c = m, then
7² - (4 × 3 × m) > 0
49 - 12m > 0 ( subtract 49 from both sides )
- 12m > - 49
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
m <