Question

Equation of a line passing through (2,3) which is perpendicular to the line 5x+2y-8=0 is :

• A. 2x- 5y=11
• B. 2x+5y=11
• C. 2x-5y=-11
• D. 5x-2y=-11

Answer 1

Answer:

C. 2x-5y=-11

slope of a line ax+by+c=0 is -a/b

slope of the line 5x+2y-8=0 is -5/2

If the lines are perpendicular , then

$m_1\times m_2=-1$

$\frac{-5}{2}\times m_2=-1$

$m_2=-1 \div \frac{-5}{2}$

$m_2=1\times \frac{2}{5}$

$m_2=\frac{2}{5}$

$slope=\frac{2}{5}point (2,3)$

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

$y-3=\frac{2}{5}(x-2)$

$5(y-3)=2(x-2)$

$5y-15=2x-4$

$2x-5y=-11$