Find the Equation of the Line Passing Through the Indicated $y + 9 = \frac { 8 } { 3 } ( x + 7 )$

question 14

Multiple Choice

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(7, 9) and (4, 1)

• A) \(y + 9 = \frac { 8 } { 3 } ( x + 7 )\) or \(y + 1 = \frac { 8 } { 3 } ( x + 4 )\)
• B) \(y - 9 = \frac { 2 } { 3 } ( x - 7 )\) or \(y - 1 = \frac { 2 } { 3 } ( x - 4 )\)
• C) \(y + 9 = \frac { 2 } { 3 } ( x + 7 )\) or \(y + 1 = \frac { 2 } { 3 } ( x + 4 )\)
• D) \(y - 9 = \frac { 8 } { 3 } ( x - 7 )\) or \(y - 1 = \frac { 8 } { 3 } ( x - 4 )\)

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Definitions:

Supply Curve

A graph that shows the relationship between the price of a good and the quantity of the good that suppliers are willing to sell.

Equilibrium Price

The price at which the quantity of a product demanded by consumers equals the quantity supplied by producers, leading to a balance in the market.

Demand Schedule

A chart indicating the amount of a product or service buyers are prepared and capable of buying at different price levels.

Shortage/Surplus

A state in the marketplace where the demand for a good surpasses its supply, causing a shortage, or where the supply of a product outpaces its demand, resulting in a surplus.