Question

score: 0/3 penalty: 1 off question find the slope of a line perpendicular to the line whose equation is 4x + 5y = 35. fully simplify your answer. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Rewrite equation in slope-intercept form

$4x + 5y = 35 \implies 5y = -4x + 35 \implies y = -\frac{4}{5}x + 7$

Step2: Find original slope

Original slope $m_1 = -\frac{4}{5}$

Step3: Calculate perpendicular slope

Perpendicular slope $m_2 = -\frac{1}{m_1} = -\frac{1}{-\frac{4}{5}} = \frac{5}{4}$

Answer:

$\frac{5}{4}$