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vlada-n [284]
3 years ago
9

A line passes through the point (3,3) and is parallel to the line given by the equation Y=-2/3x - 2

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:

B. y=-\frac{2}{3}x+5

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope -\frac{2}{3}.

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5

Now we know the y intercept (b) we can write the equation of the line.

y=-\frac{2}{3}x+5

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Step-by-step explanation:

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\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}

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