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Citrus2011 [14]
2 years ago
13

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

Mathematics
2 answers:
Crank2 years ago
6 0

Answer:

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 Brainly.com - brainly.com/question/12271401#readmore3x−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 Brainly.com - brainly.com/question/12271401#readmore

Step-by-step explanation:

sasho [114]2 years ago
5 0

Answer:

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

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Answer:

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Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

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The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

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