Share
Explain and Show the equation of line perpendicular to y=-1x+2 going through the point (6, 3)
Question
Explain and Show the equation of line perpendicular to y=-1x+2 going through the point (6, 3)
in progress
0
Mathematics
5 years
2021-08-05T05:22:11+00:00
2021-08-05T05:22:11+00:00 1 Answers
28 views
0
Answers ( )
Answer:
y = x-3 is the equation
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
The general equation form of a straight line is;
y = mx + b
Fro the equation;
y = -1x + 2
The slope is -1
So the equation of the perpendicular line is as follows;
-1 * m = -1
m = 1
so we can use the point-slope equation form
That would be:
y-y1 = m(x-x1)
y-3 = 1(x-6)
y-3 = x-6
y = x-6+3
y = x-3