For the Linear Equation $y = 20 - 17 x$ , Explain What The

question 25

Multiple Choice

For the linear equation $y = 20 - 17 x$ , explain what the $y$ -intercept and slope represent in terms of the graph of the equation.

• A)The \(y\)-intercept, \(b _ { 0 } = 20\), gives the \(y\)-value at which the straight line \(y = 20 - 17 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = 17\), indicates that the \(y\)-value increases by 17 units for every increase in \(x\) of 1 unit.
• B) The \(y\)-intercept, \(b _ { 0 } = 20\), gives the \(y\)-value at which the straight line \(y = 20 - 17 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = - 17\), indicates that the \(x\)-value decreases by 17 units for every increase in \(y\) of 1 unit.
• C) The \(y\)-intercept, \(b _ { 0 } = - 17\), gives the \(y\)-value at which the straight line \(y = 20 - 17 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = 20\), indicates that the \(y\)-value increases by 20 units for every increase in \(x\) of 1 unit.
• D) The \(y\)-intercept, \(b _ { 0 } = 20\), gives the \(y\)-value at which the straight line \(y = 20 - 17 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = - 17\), indicates that the \(y\)-value decreases by 17 units for every increase in \(x\) of 1 unit.

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Definitions:

Indifference Curve

A graph that shows a combination of two goods that give a consumer equal satisfaction and utility, thereby indicating the consumer's preferences.

Bundle

A group of items or services sold together, often at a discounted price compared to purchasing each item separately.

Utility

A measure of happiness or satisfaction.

Indifference Curve

A graph showing different combinations of two goods that provide equal satisfaction and utility to a consumer.