Question

Find the equation of the line that is perpendicular to the line y= -1/3x-1 and psses through the point (1,5)?

Answer 1

Answer:

The equation of this line would be y = 3x + 2

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -1/3, which means the new slope will also be 3 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2