Answer:
6x -y = 19
So, Option D is correct.
Step-by-step explanation:
Line 1 has points (4,5)
The other line has points (0,3) and (6,2)
The slope of this line is: m = y₂ - y₁/x₂ - x₁
m = 2-3/6-0
m = -1/6
Since both lines are perpendicular, so their slopes will be: m = -1/m
Since this line is perpendicular to the given other line so, slope of line 1 will be: 6
Now find y-intercept i.e b
y = mx+b
5 = 6(4)+b
5 = 24 + b
=> b = 5-24
=> b = -19
So, The equation will be:
m = 6, b = -19
y= mx + b
y = 6x -19
y - 6x = -19
Multiply with -1
-y +6x = 19
or 6x -y = 19
So, Option D is correct.
