Whats the linear function in slope intercept form : -6x+9y=54

Mathematics

2 answers:

babunello [35]3 years ago

4 0

9y = 6x + 54
divide through by 9:-
y = 6/9y + 54/9

y = 2/3 x + 6 <---- answer

creativ13 [48]3 years ago

3 0

The slope-intercept form is : $y=ax+b$ so all you have to do is solve for y

$^{-}6x+9y=54$ Equation

$9y=6x+54$ Add 6x to both sides

<span> $y= \frac{2}{3}x+6$ Divide by 9 on both sides
</span>
Therefore the linear function is y=2/3x+6

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NEED TO SHOW ALL WORK) For each of the equations given below, use the triangle method to solve for the

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Answer:

1) $a=\dfrac{F}{m}$

2) $m=\dfrac{p}{v}$

Step-by-step explanation:

1) The given equation is

$F=ma$

We need to solve this for a.

In the given triangle place single variable i.e., F, on the top and variables in the product in the bottom (order of m and a does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

$F=ma$

$a=\dfrac{F}{m}$

$m=\dfrac{F}{a}$

Therefore, the required answer is $a=\dfrac{F}{m}$ .

2) The given equation is

$p=mv$

We need to solve this for m.

In the given triangle place single variable i.e., p, on the top and variables in the product in the bottom (order of m and v does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

$p=mv$

$m=\dfrac{p}{v}$

$v=\dfrac{p}{m}$