For the Linear Equation $y = 6 + 4 x$ , Explain What The

question 55

Multiple Choice

For the linear equation $y = 6 + 4 x$ , explain what the $y$ -intercept and slope represent in terms of the graph of the equation.

• A)The \(\mathrm { y }\)-intercept, \(\mathrm { b } _ { 0 } = 6\), gives the \(\mathrm { y }\)-value at which the straight line \(\mathrm { y } = 6 + 4 \mathrm { x }\) intersects the \(x\)-axis. The slope, \(b _ { 1 } = 4\), indicates that the \(x\)-value increases by 4 units for every increase in \(y\) of 1 unit.
• B) The \(y\)-intercept, \(b _ { 0 } = 4\), gives the \(y\)-value at which the straight line \(y = 6 + 4 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = 6\), indicates that the \(y\)-value increases by 6 units for every increase in \(x\) of 1 unit.
• C) The \(y\)-intercept, \(b _ { 0 } = 6\), gives the \(y\)-value at which the straight line \(y = 6 + 4 x\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = 4\), indicates that the \(x\)-value increases by 4 units for every increase in \(y\) of 1 unit.
• D) The \(y\)-intercept, \(\mathrm { b } _ { 0 } = 6\), gives the \(\mathrm { y }\)-value at which the straight line \(\mathrm { y } = 6 + 4 \mathrm { x }\) intersects the \(y\)-axis. The slope, \(b _ { 1 } = 4\), indicates that the \(y\)-value increases by 4 units for every increase in \(x\) of 1 unit.

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