Respuesta :
The equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to [tex]y= \frac{-4}{3} x-4[/tex]
What is equation of line?
" Equation of line is defined as the equation which represents the set of points using slope."
Formula used
[tex]y=mx+c[/tex]
m = slope of the line
c = y-intercept
Product of the Slopes of perpendicular lines = -1
According to the question,
Slope of the given line = [tex]\frac{3}{4}[/tex]
Using condition for slope of perpendicular lines we have,
Slope of the line perpendicular to the given line 'm' = [tex]\frac{-4}{3}[/tex]
From given point (0, -4)
Y- intercept 'c' = -4
Substitute the value in the formula to get equation of required line,
[tex]y= \frac{-4}{3} x-4[/tex]
Hence, equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to [tex]y= \frac{-4}{3} x-4[/tex].
Learn more about equation of line here
https://brainly.com/question/21511618
#SPJ3
