In order to find a perpendicular line, start by finding the equation for this line. To do so, solve for y.
y - 12 = 2x - 8
y = 2x + 4
Now that we have this, we know the slope is 2. Since we are looking for a perpendicular line, we take the opposite and reciprocal, which gives out new line a slope of -1/2. We can use this and the point in point-slope form to find the equation.
First, we can add 12 to both sides to get.. y=2x+4 To get a perpendicular line, we have to take the reciprocal of the current slope and turn it to the opposite sign (ex: if it is positive, make it negative, if it is negative, make it positive) y= -(1/2)x+4 To make sure it passes through the points (2,3) we substitute x=2 and y=3 (x,y) 3= -(1/2)2 +4 3= (-1) + 4 3=3 Now we know the equation is working y= -(1/2)x + 4
