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MrRa [10]
3 years ago
10

Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that? 3 x minus 2 y = 6. 0.4 (20 y + 15)

= x. y = negative three-halves x + 3 y = one-eighth x minus three-fourths y = three-halves x minus 3 y = one-eighth x minus three-fourths y = negative three-halves x minus 3 y = one-fifth x minus StartFraction 15 Over 4 EndFraction y = three-halves x minus 3 y = one-fifth x minus StartFraction 15 Over 4 EndFraction
Mathematics
2 answers:
Fofino [41]3 years ago
7 0

Answer:

The slope intercept form of 3x - 2y = 6 is y  = \frac{3x}{2} - 3

<em>In other words, y = three-halves x minus 3</em>

Step-by-step explanation:

Given:

3x - 2y = 6

Required:

Proper representation of the slope intercept form

To get the proper system that represents the given expression, we have to make y the subject of the formula.

Follow the steps below

<em>Step 1: Write out the expression</em>

3x - 2y = 6

<em>Step 2: Take 3x to the other side of the equation</em>

- 2y = 6 - 3x

<em>Step 3: Multiply both sides by -1</em>

-1 * -2y = -1 * (6 - 3x)

<em>Step 4: Write out result</em>

2y = 3x - 6

<em>Step 5: Divide both sides by 2</em>

\frac{2y}{2}  = \frac{3x - 6}{2}

y  = \frac{3x - 6}{2}

<em>Step 6: Split fraction</em>

y  = \frac{3x}{2} - \frac{6}{2}

y  = \frac{3x}{2} - 3

Hence, the slope intercept form of 3x - 2y = 6 is y  = \frac{3x}{2} - 3

<em>In other words, y = three-halves x minus 3</em>

kotegsom [21]3 years ago
4 0

Answer:

  y = three-halves x minus 3

Step-by-step explanation:

Subtract 3x from both sides of the original equation.

  -2y = -3x +6

Divide by -2

  y = 3/2x -3

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