Line w is represented by the following equation:
y=5x+3
Create a new equation that is perpendicular to Line w that goes through the point (10,-1).
Please show your work and/or explain how you got your answer.
The equation of a line perpendicular to Line w is y=-1/5x+b, where b is the y-intercept. To find the y-intercept, we can use the point (10,-1). Plugging in x=10 and y=-1 into the equation, we get -1=-1/5(10)+b, which simplifies to b=11/5. Therefore, the equation of the line perpendicular to Line w that goes through the point (10,-1) is y=-1/5x+11/5.
Ahh, so close!
The robot tutor got the slope part right, but got bogged down with
simple arithmetic
y = (-15)x + b
sub in (10,-1)
-1 = (-1/5)(10) + b
-1 = -2 + b
b = 1
your equation is
y = (-1/5)x + 1