Question

Find the equation of the line passing through the point (2, 2) and parallel to the line 3x + 2y + 7 = 0

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

Any equation of a line parallel to the line

$ax + by + c = 0 \: \: is \: \: ax + by + k = 0$

QUESTION

To determine the equation of the line passing through the point (2, 2) and parallel to the line 3x + 2y + 7 = 0

CALCULATION

Let the equation of the line parallel to the line

$3x + 2y + 7 = 0 \: \: is \: \: 3x + 2y + c = 0$

Now it line passes through the point (2, 2)

So

$3 \times 2 + 2 \times 2 + c \: = 0$

$\implies \: c = - 6 - 4 = - 10$

Hence the required equation of the line is

$3x + 2y - 10 = 0$

Answer 2

Answer:

3x+2y-10=0

Step-by-step explanation:

3x+2y=7,3x+2y+c=0

c=-6-4=10

by using formula ax+by+c=0