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maxonik [38]
3 years ago
6

What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

Where m =slope

We get

Slope = m = 7

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

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