Question

Write an equation for the line that is parallel to the given line that passes through the given point. y = 5x + 10; (2, 14)

Answer 1

For two lines to be parallel, their slopes must be equal.
So in the ecuation y=5x+10, the slope is 5

Now we want the ecuation of the line with slope 5 and that passes through the point (2,14)
We can use the slope point form of the ecuation of a line, wich is:
y-y1=m(x-x1)

Where m is the slope and the line passes through the point (x1,y1)