Question

Find the equation of a line passing through point (5, 1) and parallel to the line $7x-2y+5=0$.

• A. $7x-2y+33=0$
• B. $7x-2y-33=0$
• C. $7x+2y-33=0$
• D. None

Answer 1

Answer: (B)

$7x-2y-33=0$

Given line are

$7x-2y+5-0$

$y=\frac{7}{2}x+\frac{5}{2}$

slope=$\frac{7}{2}$

slope of required line =slope of given line=$\frac{7}{2}$

Equation of line passing though (5,1) is given by

$y-1=\frac{7}{2}(x-5)$

$2y-2=7x-35⟹7x-2y-33=0$