What is a perpendicular line to 2x+3y=27 and passes through the points (-2,3).

rearrange the equation to y=mx+c and simplify it

to get

2x+3y=27

3y= -2x+27

y= (-2/3)x+ 9

perpendicular line - flip the gradient and add a negative sign

so -2/3 become 3/2 (the negative sign is cancelled, since it was already negative)

y=(3/2)x+c

y=1.5x+c

to find the intercept

input the x and y values

3= 1.5*-2+c

3=-3+C

6=c

therefor y=1.5x+6

answer:

125 yards

explanation:

75+50=125. that is my answer