Question

write the slope intercept equation for the line that passes thru (-2,3) and perpendicular to 2x-9y=-12. show work

Answer 1

ok, so the slope intercept equation is y=mx + b

Answer 2

but first you should isolate y in the equation you already have. So you can isolate the rate of change aka the mx part.

Answer 3

-9y = -2x - 12 then:
y = (2/9)x - 12/9 to simplify:
y =(2/9)x - 4/3 aka 1 1/3

Answer 4

so then, as its perpendicular, you'll know that the slope of the opposite line is the negative recipricol. in this case, -9/2x

Answer 5

then, input (-2,3) respectfully in the x and y places in the now modified equation. so you get:
3 = (-9/2)(-2) + b so:
3 = 9 + b then:
-6 = b

Answer 6

so you end up with
y=-9/2x - 6

Answer 7

Hope that helped.
medal, s'il vous plait? :)