Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)
y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b
so ur perpendicular equation is : y = 3/2x - 11 <==
Answer:
-2
Step-by-step explanation:
do you need an walk through?
I think the answer is a but I’m not for sure
We will check each options and verify it
(a)

we can plug m=2



so, this is FALSE
(b)

we can plug x=3



so, this is TRUE
(c)

we can plug x=3



so, this is FALSE
(d)

now, we can plug x=2



So, this is FALSE
(5x^2-15x) (-2x+6)
5x (x-3) -2 (x-3)
(5x-2) (x-3)