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dedylja [7]
3 years ago
8

Which two points are on the graph of M(a) = - 3/4a-12?

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

(-16, 0) and  (0,-12)  are exactly two points on the graph of the given equation.

Step-by-step explanation:

Here, the given expression is : M(a) = -\frac{3}{4} a-12

Here, let M(a)  = b

⇒The equation becomes b = -\frac{3}{4} a-12

Now, check for all the given points for (a,b)

<u>1) FOR (-9,0)</u>

RHS  is  -\frac{3}{4} (-9)-12  =   -5.25 \neq 0

Hence, (-9,0) is NOT on the graph.

<u>2) FOR (-16,0)</u>

Here, LHS = b = 0

andRHS  =   -\frac{3}{4} (-16)-12  = 12-12  = 0

Hence, LHS  =  RHS = 0  So, (-16,0) is  on the graph.

<u>3) FOR (0,12)</u>

Here, LHS = b = 12

RHS  is  -\frac{3}{4} (0)-12  =   -12  \neq 12

Hence, (0,12) is NOT on the graph.

<u>4) FOR (0,-12)</u>

Here, LHS = b = -12

RHS  is  -\frac{3}{4} (0)-12  =   -12

and LHS = RHS = -12

Hence, (0,-12) is  on the graph.

Hence, (-16, 0) and  (0,-12)  are exactly two points on the graph of the given equation.

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