find the slope intercept form of an equation of the line perpendicular to graph of x-3y=5 passing through (0,6)

y=-3x+6

explanation:

First set the equation in terms of y so that we can find the slope.

y = (x-5) / 3

We can also write this as

y = (1/3) x - (5/3)

The slope of the perpendicular line would be the opposite reciprocal, so - 3.

We have the y-intercept, so now we can plug in the numbers to get our equation.

y=-3x+6