Question

Can someone explain to me how to do this!?! I dont understand at all :(.

Write the standard form of the equation of the line passing through the point (2, 4) and perpendicular to the line - 4x - y = 5.
[A] - x + 4y = –14 [B] x - 4y = –14 [C] - 4x + y = –4 [D] none of these

Answer 1

given equation -4x-y=5 which is perpendicular to the points (2,4), find the equation of the line?
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(1) find the slope
-4x-y=5
-y=4x+5
y=-4x+5

thus, m=-4

since it is perpendicular to the ask equation of the line, find the inverse of that slope(m).

(2) //m=1/4

(3) using the //m and the given point (2,4), find the equation of the line. .

using point-slope form:

\[(y-y _{1})=m(x-x _{1})\]substitute. . .

(y-4)=1/4(x-2)
y-4 =1/4x-1/2
(y-4= 1/4x-1/2)4
4y-16=x-2
-x+4y=14 or x-4y=-14