Answer:
y = -1/3 x + 2
Explanation:
Perpendicular
Two lines that a perpendicular have slopes that multiply to minus 1.
Given line: The slope is 3. Find the slope of a line perpendicular to the given one.
m1 = 3
m2 = ?
m1 * m2 = - 1
3 * m2 = - 1
m2 = - 1/ 3
Y intercept of -x + 5y= 10
The y intercept occurs when x = 0
x = 0
y = 2
The y intercept = (0,2) This is the point you use to determine the equation.
y = mx + b
y = -1/3 x + b
when x = 0 , y = 2
2 = -1/3(0) + b
b = 2
Line equation
Answer: y = -1/3 x + 2