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lorasvet [3.4K]
3 years ago
6

What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?

Mathematics
2 answers:
Ganezh [65]3 years ago
5 0

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = 2/3x - 7

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

(12 , 2 ) and slope 2/3 is

y - 2 =  \frac{2}{3} (x - 12) \\ y - 2 =  \frac{2}{3} x - 8 \\ y =  \frac{2}{3} x - 8 + 2

We have the final answer as

y =  \frac{2}{3} x - 6 \\

Hope this helps you

melomori [17]3 years ago
5 0

Answer:

hgiorjig

Step-by-step explanation:

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