write an equation of the line passing through the point ( 6, - 2 ) that is parallel to the line y = 4x -11.

Question

Point is (6,-2)

Answer 1

Two parallel lines have the same slope, so we know that the slope of the line we have to find is 4. We can write y=4x+c where we have to find c. Substitute the coords of the given point: x=6, y=-2:

-2=24+c, so c=-26 and the equation of the line is y=4x-26.