Write the an equation of a line that is perpendicular to y= 1/3x + 5 and intersects it at the y intercept

y = -3x + 5

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1.

Slope of the given line M = 1/3

Slope of the required line is m

If product is -1, then;

Mm = -1

1/3 m = -1

m = -3

SInce it intersects at the y intercept, y intercept c = 5

Get the required equation. Substitute m = -3 and c = 5 into the equation

y = mx+c

y = -3x + 5

Hence the required equation of the line is y = -3x + 5