Perpendicular to Y= 5x+4 passing through the point (3,2)

Step-by-step explanation:

when lines are perpendicular the product of the slopes is -1

 m1*m2 = -1 where m1 and m2 are the slopes

y = 5x + 4

the slope is 5

the slope of the perpendicular line = -1/5

the line passes through the point (3, -2) and it passes through (x, y) any point on that line, and the slope is -1/5

using the point-slope formula or the slope -intercept formula we can write the general equation

point-slope                                            slope- intercept   -2 = -1/5(3) + b so b = -2 + 3/5  =( -10 + 3)/5

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

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

                                                           y = -1/5 x -7/5

step-by-step explanation: