Graph Equations Standard Form

Answer explanation

To solve for y in the equation -8x + 2y = -14, isolate y by adding 8x to both sides and then dividing by 2. This gives y = 4x - 7, which matches the correct choice: y = -7 + 4x.

Tags

CCSS.6.EE.C.9

Answer explanation

To solve for y in the equation x - 3y = -18, rearrange it to get 3y = x + 18, then divide by 3 to find y = (1/3)x + 6. Thus, the correct answer is y = 6 + (1/3)x.

Tags

CCSS.6.EE.C.9

Which graph represents 2x + 4y = 12?

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What is the rate of change of this function?

Answer explanation

The rate of change of a function is determined by its derivative. It indicates how the function's output changes with respect to changes in its input. To find it, calculate the derivative of the function.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Solve for y.

-4x+3y=15

Mathematical Equivalence

ON

Tags

CCSS.6.EE.C.9

Graph the linear equation x + 3y = -6

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Which rate of change represents the following graph?

• 1,000 feet per minute

• 1,000 minutes per foot

• 500 feet per minute

• 0.001 feet per minute

Answer explanation

The graph indicates a steep increase, suggesting a rapid rate of change. The correct choice, 1,000 feet per minute, reflects this high rate, while the other options represent much slower rates.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Graph the linear equation 5x - 3y = 12