Question

Find the equation of a line which is parallel to the equation 3 X minus 4 Y + 2 is equal to zero and passing through the point - 2, 3

Answer 1

Answer:

3X - 4Y + 18 = 0

Step-by-step explanation:

Equation of line is given as

3X - 4Y + 2 = o

=> 3X + 2 = 4Y

=> Y = (3/4)X + 1/2

Equation of a line parallel to this line

Y = mX + C

as this line is parallel to 1st line

so m = 3/4 from 1st line

Y = (3/4)X + C

=> 4Y = 3X + 4C

this line passes through (-2 , 3)

that menas if X = -2 Then Y = 3

4 × 3 = 3×(-2) + 4C

=> 12 = -6 + 4C

=> 4C = 18

=> C = 9/2

Equation of line

Y = (3/4)X + 9/2

4Y = 3X + 18

=> 3X - 4Y + 18 = 0