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4-67.

What is the equation of each of the lines described below? Homework Help ✎

1. The line that passes through $(6,1)$ and $(-10,-7)$.

Calculate the slope between the two points.
Once you find the slope, write the general equation and use one of the points to solve for the missing parameter.

$y = \frac{1}{2}x - 2$

2. The line that is perpendicular to $y=\frac{2}{3}x+1$ and passes through $(0,5)$.

The slope of the given line is $\frac{2}{3}$. What is the slope of the perpendicular line?