Find an equation of the line. Write the equation using function notation. Through (7,-6); perpendicular to 6y=x-12

Question

Find an equation of the line. Write the equation using function notation. Through (7,-6); perpendicular to 6y=x-12

Answer 1

First, we solve the equation for y in order to get the slope (y = mx + b): y = x/6 - 2. So, the slope is 1/6. The slope of the perpendicular to this line is the negative reciprocal of 1/6, which is -6. Now, we can create the equation of the new line through the point (7,-6) as: y - (-6) = -6(x + 7); y + 6 = -6x - 42; y = -6x - 48.

Answer 2