Write the equation of the line parallel to y=2x-5 and passes through the point (2,4)

Question

Please help

Answer 1

If a line is parallel to another line, both have the same slope.

We know the first line is y = 2x -5

For the second line, we can use formula y=mx + b,

We must have slope m=2, and we need to find b the y-intercept.

We get y=2x+b and we need to find b

b is the y intercept when x=0.

Let's plug in the point (2,4) to find b.

We get 4=2*2+b 

so b= 4-4 , b = 0

So line that is parallel is y=2x