$\"\"$

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a.

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Write and graph the linear equation that gives the distance $\"\"$ in kilometers in terms of the number $\"\"$ in miles.

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Write a linear equation.

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Observe the table:

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The two ordered pairs represent the number in miles and distance in killometers are $\"\"$ and $\"\"$ .

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Find the slope.

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$\"\"$ .

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$\"\"$ (Formula for slope)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the slope is $\"\"$ .

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$\"\"$

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Consider the ordered pair is $\"\"$ and $\"\"$ .

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Point slope form of the equation of a line is $\"\"$ .

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Write a linear equation.

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$\"\"$ (Formula for Point-slope for line equation)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Therefore, the linear eqaution is $\"\"$ .

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Graph:

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Graph of the equation is $\"\"$ .

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$\"\"$

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Observe the graph:

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The function is a linear function.

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$\"\"$

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b.

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Find the distance in kilometers to $\"\"$ .

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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Hence, $\"\"$ corresponds to $\"\"$ .

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c.

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What number is the same in kilometers and miles.

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$\"\"$ .

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Because this is the point on the graph where the $\"\"$ -value and the $\"\"$ -value are the same.

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$\"\"$

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a. The linear equation is $\"\"$ .

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b. $\"\"$ corresponds to $\"\"$ .

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c. $\"\"$ number is the same in killometers and miles.