find the slope of any line perpendicular to the line through points (0,5) and (-3,-4) would I be right y=-1/12

No. What is the slope of the line through those points? 9/3 ?What is the negative reciprocal of that?

-9/-3?

Goodness, 9/3 is 3. What is the negative RECIPROCAL of that?

To find the slope of the line passing through the points (0,5) and (-3,-4), you can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates, we have:

m = (-4 - 5) / (-3 - 0)
m = -9 / -3
m = 3

So, the slope of the line passing through the points (0,5) and (-3,-4) is 3.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of the slope. The negative reciprocal of 3 is -1/3.

Therefore, the correct answer is y = -1/3.