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Question

# Find the slope of the line described by each equation. y+2=7x

Solution

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We have the equation of the line $y+2=7x$ The intersection with the $x$ axis is obtained when we use $y=0$ Now, $x$-intercept:

$0+2=7x \Rightarrow 2=7x \Rightarrow x=\dfrac{2}{7}$

The intersection with the $y$ axis is obtained when we use $x=0$ Now, $y$-intercept:

$y+2=0 \Rightarrow y=0-2 \Rightarrow y=-2$

The line contains $(x_{1},y_{1})=\left(\dfrac{2}{7},0\right)$ and $(x_{2},y_{2})=(0,-2)$

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