Which table of ordered pairs represents the equation of the graph?

3x−2y=12

x
−1
1
3
5
y
7.5
4.5
1.5
1.5

x
−7.5
−4.5
−1.5
1.5
y
−1
1
3
5

x
−7.5
4.5
1.5
−1.5
y
1
1
3
5

x
−1
1
3
5
y
−7.5
−4.5
−1.5
1.5

3x−2y=12

Solve for y

.

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Subtract 3x

from both sides of the equation.

−2y=12−3x

Divide each term by −2

and simplify.

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y=−6+3x2

Rewrite in slope-intercept form.

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The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Reorder −6

and 3x2

.

y=3x2−6

Rewrite in slope-intercept form.

y=32x−6

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

Find the values of m

and b using the form y=mx+b

.

m=32

b=−6

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 32

Y-Intercept: −6

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for fewer steps...

Choose 0

to substitute in for x

to find the ordered pair.

Tap for more steps...

(0,−6)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for more steps...

(1,−92)

Create a table of the x

and y

values.

xy0−61−92

Graph the line using the slope and the y-intercept, or the points.

Slope: 32

Y-Intercept: −6

xy0−61−92

3x−2y=12

Solve for y

.

Tap for fewer steps...

Subtract 3x

from both sides of the equation.

−2y=12−3x

Divide each term by −2

and simplify.

Tap for more steps...

y=−6+3x2

Rewrite in slope-intercept form.

Tap for fewer steps...

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Reorder −6

and 3x2

.

y=3x2−6

Rewrite in slope-intercept form.

y=32x−6

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

Find the values of m

and b using the form y=mx+b

.

m=32

b=−6

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 32

Y-Intercept: −6

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for fewer steps...

Choose 0

to substitute in for x

to find the ordered pair.

Tap for more steps...

(0,−6)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for more steps...

(1,−92)

Create a table of the x

and y

values.

xy0−61−92

Graph the line using the slope and the y-intercept, or the points.

Slope: 32

Y-Intercept: −6

xy0−61−92

Read more on - −2y=12

Solve for y

.

Tap for fewer steps...

Subtract 3x

from both sides of the equation.

−2y=12−3x

Divide each term by −2

and simplify.

Tap for more steps...

y=−6+3x2

Rewrite in slope-intercept form.

Tap for fewer steps...

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Reorder −6

and 3x2

.

y=3x2−6

Rewrite in slope-intercept form.

y=32x−6

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

Find the values of m

and b using the form y=mx+b

.

m=32

b=−6

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 32

Y-Intercept: −6

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for fewer steps...

Choose 0

to substitute in for x

to find the ordered pair.

Tap for more steps...

(0,−6)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for more steps...

(1,−92)

Create a table of the x

and y

values.

xy0−61−92

Graph the line using the slope and the y-intercept, or the points.

Slope: 32

Y-Intercept: −6

xy0−61−92

Read more on -

Step-by-step explanation:

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step-by-step explanation: