write the equation of the line passing though 22 and paralle

write the equation of the line passing though (2,2) and parallel to the line with equation 6x+y=4

Solution

line paralle to 6x +y =4 will have same slope as this line

So, the required line has a slope: y = -6x +4

m = -6

Slope intercept form of equation : y = mx+c ----> y = -6x +c

substituting the point ( 2,2)

2 = -6(2)+c----> c = 14

y = -6x +14 ( solution)