Question

Enter the equation of the line meeting the given conditions. Please put the equation in standard form. Containing A(5, 3) and perpendicular to a line with slope of -2

Answer 1

Answer:

y +2x = 13

Step-by-step explanation:

y = -2x + 13 is y-intercept form.

add 2x to both sides

y + 2x = 13

Answer 2

Answer:      $y=\frac{x}{2}+\frac{1}{2}$

Step-by-step explanation:

Alright, lets get started.

The line is perpendicular to a line with slope -2.

It means the slope of our line will be :

$m\times (-2)=-1$

Hence, $m=\frac{1}{2}$

The point from which our line is passing, is (5,3)

So the equation of line passing through a point and given slope is given by :

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

$y-3=\frac{1}{2}(x-5)$

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

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

Hence the equation is : $y=\frac{x}{2}+\frac{1}{2}$   :  Answer

Hope it will help :)