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

y +2x = 13

Explanation:

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

add 2x to both sides

y + 2x = 13

Answer 2

Answer:
`y=(x)/(2)+(1)/(2)`

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* (-2)=-1`

Hence,
`m=(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=(1)/(2)(x-5)`

`y=(x)/(2)-(5)/(2)+3`

`y=(x)/(2)+(1)/(2)`

Hence the equation is :
`y=(x)/(2)+(1)/(2)` : Answer

Hope it will help :)