Question

Find the equation of the line through the point -7, 2 and parallel to y=2/5x-1/2
Y=

Answer 1

PARALLEL LINES HAVE EQUAL GRADIENTS.

IT MEANS THE GRADIENT OF THE NEW EQUATION IS GOING TO BE

`(2)/(5)`

TOO

WE CAN SUBSTITUTE IN THE GENERAL EQUATION OF A STRAIGHT LINE y=mx+c TO GET C

`2 = (2)/(5) ( - 7) + c \\ 2 = ( - 14)/(5) + c \\ c = 2 + (14)/(5) \\ c = (24)/(5)`

THE EQUATION PARALLEL TO THE ONE GIVEN NOW IS

`y = (2)/(5) x + (24)/(5)`