Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.
<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>
Given:
and

The generalized equation of a parabola in the vertex form exists

Vertex of the function f(x) exists (1, 5).
Vertex of the function g(x) exists (-2, -3).
Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.
The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.
To learn more about the vertex of the function refer to:
brainly.com/question/11325676
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3x8 is 24 hopefully this is helpful
X is 5. Hope this helps:)