Question

Find the equation of the straight line parallel to the line $3x-y+7=0$ and passing through the point $(1,-2)$.

• A. $3x-y-5=0$
• B. $3x+y-5=0$
• C. $3x-y+5=0$
• D. None of these

Answer 1

The correct option is A $3x-y-5=0$

Consider the given equation.

$3x-y+7=0$ $...........\left(1\right)$

$slope=\frac{3}{1}=3$

Since, the line is parallel to given line. so slope will be same.

$slope=3$

We know that the equation of the line which is passing through the point

$y-y_1=slope(x-x_1)$

So,

$y+2=3(x-1)$

$y+2=3x-3$

$3x-y-5=0$

Hence, this is the answer.