Line l has equation 2x - 3y = 5. line m passes through the point (2, -10) and is perpendicular to line l. determine the equation for line m.

a) 2x + 3y = -14 b) 2x - 3y = -26 c)3x + 2y = -14 d) 3x - 2y = -26

Option C is correct.

Step-by-step explanation:

Given Equation of Line L is 2x - 3y = 5

Line M is perpendicular to line L and Line M passes through point ( 2 , -10 )

first rewrite equation of line L in slope intercept form to get slope of line L,

By comparing with , y = mx + c

Slope of line L =

let slope of M = m1

We know that Product of slope of perpendicular lines equal to -1

So, m × m1 = -1

Now we find Equation of Line M using slope and point form,

Therefore, Option C is correct.

don't report but were is the digram

step-by-step explanation: