Find the slope of a line which has parametric equations $x = 5 + t$ and $y = 7 + t$ , where $t$ is the parameter.

\frac{5}{7}

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1

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\frac{7 + t}{5 + t}

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\frac{7}{5}

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7

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Solution

The correct option is B $1$
$x = 5 + t$ and $y = 7 + t$
$\frac{d x}{d t} = 1$ and $\frac{d y}{d t} = 1$
$\frac{d y}{d x} = \frac{d y / d t}{d x / d t} = 1$
Hence, the slope is $1$ .

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