Answer:
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Explanation:
Method-1 Using Differentiation
ax-4y=—6
Differentiating it wrt x
a-4(dy/dx)=0
(dy/dx)=(a/4)
(dy/dx) is the slope of the equation so
dy/dx=(—3/2)=(a/4)
Therefore a=—6
Method—2 Using general Equation of the curve
ax-4y=—6
4y=ax+6
y=(a/4)+(6/4)
It is of the form y=mx+c
So m=a/4=(—3)2)
Therefore a=—6