The linear equation is y = 4 + 0.5x
<h3>How to determine the equation?</h3>
The points are given as: (-2,3) and (4,6)
The equation is then calculated using:

Substitute the known values

Evaluate
y = 0.5 *(x+2) + 3
Expand
y = 0.5x + 1 + 3
Evaluate the sum
y = 0.5x + 4
Rewrite as:
y = 4 + 0.5x
Hence, the equation is y = 4 + 0.5x
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Answer:
This is a vertical angle theorem
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .
6 - x = 2(x - 6)
the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
-3x = -18 ... divide by -3
x = 6 is the answer
D (-4 , -1)
relflected over x-axis= (4 , 1)
180 degrees= (-4 , -1)