What is the slope of the line that contains the points (3, 4) and (1, 2)?
1 answer:
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Answer:
y = 6x + 22
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-3, 14)
Point (-1, 16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: 16 = 6(-1) + b
- Multiply: 16 = -6 + b
- Isolate <em>b</em>: 22 = b
- Rewrite: b = 22
<u>Step 4: Write linear equation</u>
y = 6x + 22
Answer:
cm²
Step-by-step explanation:
Surface area of the composite figure = Surface area of the lateral surfaces of the given pyramids
Lateral surface area of a square pyramid = 4
Therefore, lateral surface area of the pyramid
=
Now lateral surface area of the composite figure = 2(lateral surface area of two pyramids)
=
Therefore, Expression for the surface area of the given composite figure is,
cm²