question\nfind the slope of a line perpendicular to the line whose equation is $5x - 2y = -10$. fully…

question\nfind the slope of a line perpendicular to the line whose equation is $5x - 2y = -10$. fully simplify your answer.\nanswer attempt 1 out of 2

question\nfind the slope of a line perpendicular to the line whose equation is $5x - 2y = -10$. fully simplify your answer.\nanswer attempt 1 out of 2

Answer

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange $5x - 2y = -10$ to solve for $y$: $-2y = -5x -10$ $y = \frac{5}{2}x + 5$

Step2: Find perpendicular slope

Perpendicular slopes are negative reciprocals. If original slope $m_1 = \frac{5}{2}$, then perpendicular slope $m_2 = -\frac{2}{5}$

Answer:

$\boldsymbol{-\frac{2}{5}}$