Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line [tex]y=7x[/tex] is [tex]y=7x-12[/tex]
Step-by-step explanation:
Given:
a line [tex]y=7x[/tex]
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
[tex]y=7x[/tex] ...........Given
Comparing with,
[tex]y=mx[/tex]
Where m =slope
We get
[tex]Slope = m = 7[/tex]
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
[tex](y-y_{1})=m(x-x_{1})[/tex]
Substituting the points and so we will get the required equation of the line,
[tex](y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line[/tex]
Therefore, equation of the line that passes through (2,2) and is parellel to the line [tex]y=7x[/tex] is [tex]y=7x-12[/tex]
