First, let's find what m is, the slope of the line...
m= y2-y1/x2-x1
m=7-4/3-2 You end up with 3/1 or 3 as your slope.
so far you have... y=3x+b
<span>Take (2,4). y=mx+b or 4=3*2+b, solving for b: b=4-(3)(2). b=-2.</span>
So your final equation is...
<span>y = 3x-2</span>
Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
"2 times pi times r", which can be written as "2*pi*r", represents the circumference of a circle. This is the distance around the circle (aka perimeter)
r is the radius of the circle
if you know the diameter then you can divide the diameter in half to get the radius (example: diameter is 10 so the radius is 5)
Answer:
x = 6/7, y = 1/2
Step-by-step explanation:
7x + 2y = 7
-14x + 2y = -11
1) 7x + 2y = 7
2y = 7 - 7x
2) -14x + 2y = -11
-14x + 7 - 7x = -11
- 21x = -11-7
- 21x = - 18
x = 18/21 = 6/7
3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1
2y = 1
y = 1/2
