Write an equation of the line passing through point p (2,3) that is perpendicular to the line y-4 = -2(x+3)

y - 3 = (x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 2(x + 3) ← is in point- slope form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

= - = - =

passing through (2, 3 ), then

y - 3 = (x - 2) ← equation of perpendicular line

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

d no solution

step-by-step explanation: