the slope of y = 3x + 8 is 3
so the slope of the perpendicular line is -1/3
new line must be y = (-1/3)x + b , with (6,5) lying on it, so
5 = (-1/3)(6) + b
5 = -2 + b
b = 7
looks like y = (-1/3)x + 7
Write the equation of the line that goes through the point (6, 5) and is perpendicular to the line y = 3x + 8.
What is the slope of y = 3x + 8? __
m = __
Since your line is perpendicular to y = 3x + 8, your slope has the opposite sign and reciprocal (flip the fraction) slope. "M" your line = __
Use your slope and given point to solve for "b" and write the equation.
2 answers
Thanks for your help mathhelper