Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.

Question

Contains the point (-3, 2) and is perpendicular to the line 5x − y = 4

Answer 1

The point is (-3,2)  and

The Line is 5x - y = 4 that is y= 5x - 4.

This is in the form of y = mx +c

So, the value of the slope (m) = 5.

The perpendicular slope is m  = -1/5.             [Since  ]

Now using Point -slope formula to find the equation , 

Using the point ( -3 , 2 ) =( )

( y - 2 ) = (-1/5) (x - (-3) )

(y -2) =(-1 / 5 ) ( x + 3 ) 

5 (y - 2) = -1( x+ 3)

5y - 10 = - x - 3

5y = -x - 3 +10

=> 5y = -x +7

=>y = (-1/5)x +( 7/5 ).

The standard form is .

Hence, the  final equation in standard form is  y = (-1/5)x +( 7/5 ).