Answer:
y=1/5x-3
Explanation:
Start by finding the slope:
Slope = (y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates:
Slope = (12-(-3))/(-3-0)=(12+3)/(-3)=15/-3=-5
The slope intercept equation would be
y=mx+b
Slope is m and y-intercept is b. x and y and the x and y-coordinates.
Now we plug in one of the x and y coordinate pairs into the equation:
-3=-5(0)+b
b=-3
So the equation of the line would be
y=-5x-3
But the slope of a perpendicular line is the negative reciprocal of the original equation
So...
y=1/5x-3