MATH SOLVE

2 months ago

Q:
# The equation of line m is 3x-5y=-4. What is the slope of a line that is perpendicular to line m. Enter your awnser in the box Needed for test!

Accepted Solution

A:

The slope of the line perpendicular to line m is -5/3Step-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 3/5The 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 -5/3Keywords: Equation of line, SlopeLearn more about Slope at:brainly.com/question/3126500brainly.com/question/3306327#LearnwithBrainly