Mathematics: Which two points are on the graph of m(a) = - 3/4a-12? choose exactly two answers that are correct. (-9,0) (-16, 0) (0, 12) (0, -12)

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

QueenNerdy889

08.01.2022

(-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)

1) FOR (-9,0)

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

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

2) FOR (-16,0)

Here, LHS = b = 0

and $RHS = -\frac{3}{4} (-16)-12 = 12-12 = 0$

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

3) FOR (0,12)

Here, LHS = b = 12

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

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

4) FOR (0,-12)

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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