Answer :
The translation of the question given is
A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?
Answer:
y = 5
Step-by-step explanation:
Line 1 that passes through A (2,1) and B (6,3)
Slope (m1) = 3-1/6-2 = 2/4 = 1/2
y - 1 = [tex]\frac{1}{2}[/tex] ( x -2)
2y - 2 = x- 2
y = [tex]\frac{x}{2}[/tex]
Line 2 passes through A (2,1) and (0,y)
slope (m2) =[tex]\frac{y-1}{-2}[/tex]
Line 1 and Line 2 are perpendicular
m1*m2 = -1
[tex]\frac{1}{2}[/tex] * [tex]\frac{y-1}{-2}[/tex] = -1
y-1 = 4
y = 5
slope = -2
Equation of Line 2
Y-1 = -2(x-2)
y -1 = -2x +4
2x +y = 5