Question

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

Answer 1

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 $y=7x-12$