The slope of the line perpendicular to line m is -5/3
Step-by-step explanation:
Given equation of line is:
[tex]3x-5y=-4[/tex]
We have to convert the given line in slope-intercept form to find the slope of the given line
[tex]3x-5y=-4\\Adding 5y and 4 on both sides\\3x-5y+5y+4=-4+5y+4\\3x+4=5y\\5y=3x+4\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{3}{5}x+\frac{4}{5}\\y=\frac{3}{5}x+\frac{4}{5}[/tex]
The coefficient of x is the slope of line m.
So slope is 3/5
The product of slopes of two perpendicular lines is -1.
Let m2 be the slope of the line perpendicular to the given line
[tex]\frac{3}{5}*m_2=-1\\m_2=-1 * {5}{3}\\m_2=-\frac{5}{3}[/tex]
Hence,
The slope of the line perpendicular to line m is -5/3
Keywords: Equation of line, Slope
Learn more about Slope at:
- brainly.com/question/3126500
- brainly.com/question/3306327
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