QuestionConsider the line $y=-\frac{8}{7} x+1$ . Find the equation of the line that is perpendicular to this ine and passes through the point $(7,3)$ . Find the equation of the line that is parallel to this line and passes through the point $(7,3)$ .
Equation of perpendicular line: $\square$
Equation of parallel line: $\square$

Studdy Solution
Simplify the equation:
$y - 3 = -\frac{8}{7}x + \frac{56}{7}$
Add 3 to both sides:
$y = -\frac{8}{7}x + 8 + 3$
$y = -\frac{8}{7}x + 11$
Equation of parallel line: $\boxed{y = -\frac{8}{7}x + 11}$

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