Answer:
y = x + 5
Step-by-step explanation:
The Line equation is:
y =
The line equation is in the form of y = m x + c
Slop of this line is (m1) =
Let another line with slop (m2) , passes through point (4 , 2)
As per question the another line is parallel to the given line equation
So, slop of both the lines are equal
∴ (m2) = (m1) =
Hence equation of another line with slop and passing through points ( 4 , 2) is
y - y1 = (m2) (y - x1)
I.e y - 2 = (x - 4)
Or,
Or , 4y - 8 = -3x + 12
Or, 4y = -3x + 12 + 8
Or , 4y = -3x + 20
∴ y = x + 5
Hence The value of y = x + 5 Answer