Answer: y + 2 = 
( x - 4 )
Step-by-step explanation:
The equation of a line in point - slope form is given as ;
y - 
= m (x - 
)
= 4
= -2
m =
Substitute the values into the equation , we have
y - (-2) = ( x - 4 )
y + 2 = ( x - 4 )
Which could be written as :
y + 2 = y + 2 = x + 2
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
<u>Algebra II</u>
- Imaginary Numbers: √-1 = i
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x² + 20 = 0
<u>Step 2: Identify Variables</u>
a = 1
b = 0
c = 20
<u>Step 3: Find roots </u><em><u>x</u></em>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
- Factor:
- Simplify:
- Divide:
Answer:it is linear because every time x increases 1, y increases by 2.
Step-by-step explanation:it is a linear relationship and it is changing at a constant rate
