Question

Write the point slope form of the equation of the line that passes through the point (1,-5) and is perpendicular to y = -12x + 7

Answer 1

The answer should be y + 5 = 1/12(X-1)

(The answer is also in the picture)

Answer 2

The point-slope form of the equation of the line that passes through the point (1,-5) and is perpendicular to y = -12x + 7 is y + 5 = 1/12(x - 1).

Step-by-step explanation:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Since we know that the given line is perpendicular to y = -12x + 7, we can determine its slope by taking the negative reciprocal of the slope of the given line. The slope of the given line is -12, so the slope of the perpendicular line is 1/12.

Now, since the line passes through the point (1, -5), we can substitute these values into the point-slope form equation to get:

y - (-5) = 1/12(x - 1)

Simplifying this equation gives us the final point-slope form of the equation:

y + 5 = 1/12(x - 1)