<h2>
Answer: y = ¹⁸/₅
x - 8
</h2>
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (0, -8) and (5, 10), from which we can find the slope and later the equation of the line.
<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (10 - (- 8)) ÷ (5 - 0)
= ¹⁸/₅
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ¹⁸/₅ (x - 0)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - (-8) = ¹⁸/₅ (x - 0)
⇒ y + 8 = ¹⁸/₅ x
∴ y = ¹⁸/₅ x - 8
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
<em />
Answer:
x = 50°
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
x° + 2(65°) = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Multiply: x + 130 = 180
- Isolate <em>x</em>: x = 50°
Answer:
10x - 20
Step-by-step explanation:
<em>Distribute 5 </em>to <em>each</em> of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.
Prime factorization for 600 is 2^3 times 3 times 5^2