If both of my intercepts are negative what slope is it?

Explanation:

Pick any two negative numbers to represent the x and y intercepts. Let's say we go for -2 and -3 as the x and y intercepts.

That leads to the locations (-2,0) and (0,-3)

Find the slope through these two points.

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

m = (-3-0)/(0-(-2))

m = (-3-0)/(0+2)

m = -3/2

m = -1.5

We get a negative slope. The line moves downhill as we move to the right.

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c