Through: (-3,-5), perp. to y=-1/3x+2

Y = - 1/3x + 2 ... the slope here is - 1/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the slope and change the sign. So the slope is - 1/3 ... flip it and it becomes - 3/1 ... change the sign and it becomes 3/1 or just 3. So ur perpendicular line will have a slope of 3.

y = mx + b

slope (m) = 3

(-3,-5) ... x = - 3 and y = - 5

now sub into the formula and find b, the y int

-5 = 3 (-3) + b

-5 = - 9 + b

-5 + 9 = b

4 = b

so ur perpendicular equation is : y = 3x + 4 <===