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Option A
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Check if slope = 2
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y + 2 = 2(x + 3)
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5
Slope = 2
Answer: Yes, Slope is 2
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Check if it passed through (2, 3)
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When x = 2
y = 2(2) + 5
y = 9
Answer: No, it does not passed through (2, 3)
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Option B
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Check if Slope is 2
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y - 3 = 2(x - 2)
y - 3 = 2x - 4
y = 2x - 4 + 3
y = 2x - 1
Slope = 2
Ans : Yes, slope is 2.
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Check if it passed through (2, 3)
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when x = 2
y = 2(2) - 1
y = 4 - 1
y = 3
Answer : Yes, it passed through (2, 3)
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Answer: (B) <span>y – 3 = 2(x – 2)
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Answer:
both
Step-by-step explanation:
we know that
The sum of the internal angles in the triangle must be 
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is 
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
