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

Question

asked Sep 17, 2020 193k views

1 Answer

Ballard · Answer 1 · 2020-09-21T17:43:56+0000

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line
is

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
is