Question

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

Answer 1

Parallel lines have equal slopes. Therefore, you know the slope of the line whose equation you want to find. Secondly, you're given a point on the new line, (2,14). Substitute this information into the point-slope formula: y-b = m(x-a), where (a,b) is the point in question and m is the slope of the line.