Question

write the equation of the line passing through the point (2,4) and parallel to the line whose equation is y=x.

Answer 1

y = x....same as y = 1x + 0......slope here is 1. A parallel line will have the same slope

y = mx + b
slope(m) = 1
(2,4)....x = 2 and y = 4
now we sub and find b, the y int
4 = 1(2) + b
4 = 2 + b
4 - 2 = b
2 = b

so ur parallel equation is : y = x + 2