Question

Which of the following is the equation of a line perpendicular to

Answer 1

Answer: $y = -2x - 3$

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1

Given :

$4y = 2x + 5$

to find the slope , we will write it in the form : $y = mx + x$

That is

$y = \frac{2}{4}x + \frac{5}{4}$

$y = \frac{1}{2}x + \frac{5}{4}$

which means that the slope = $\frac{1}{2}$

any line that is perpendicular to this line will have slope = -2

using the formula :

$y - y_{1} = m (x-x_{1})$ , we have

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

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

$y + 1 = -2x - 2$

$y = -2x - 2 - 1$

$y = -2x - 3$