What is the equation of the line that is perpendicular to y+1=-3(x-5) and passes through the point (4,-6)

The equation of the line would be y + 6 = 1/3(x - 4)

Step-by-step explanation:

To get this information we first have to start by finding the slope of the new line. If the slope of the perpendicular line is -3 (which we can see by its spot outside the parenthesis), we know that the new one is 1/3 because perpendicular slopes are opposite and reciprocal. Now we use this slope with the given point to find the new line in point-slope form.

y - y1 = m(x - x1)

y - -6 = 1/3(x - 4)

y + 6 = 1/3(x - 4)