1. Find Slope
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2
2. Write equation with know information
y = mx + b
y = 11/2x + b
3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b
Use algebra and solve for b
5 - 22 = b
b = -17
State all the information you know
m = 11/2 b = -17
Write the equation
y = 11/2x - 17
Answer:
y = -2x-8 ------> the equation of the line
Step-by-step explanation:
y = mx + b
8 = -2(-8)+b
= 16 + b
-16 -16
-----------
-8 = b
y^2 - y^1 / x^2 - x^1
= 8-(-6) / -8-(-1)
= -14/7
= m = -2
Final answer: y = -2x-8
5)
3 decimals are
- 5.2
- 5.5
- 5.7
7)
3 decimals are
-3.18
-3.12
-3.05
Answer:
(-3, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - y = 12
y = -4x - 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - (-4x - 9) = 12
- Distribute negative: -5x + 4x + 9 = 12
- Combine like terms: -x + 9 = 12
- Subtract 9 on both sides: -x = 3
- Divide -1 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x - 9
- Substitute in <em>x</em>: y = -4(-3) - 9
- Multiply: y = 12 - 9
- Subtract: y = 3
Step-by-step explanation:
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