Respuesta :
Answer: 4/7
This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.
Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7
Notice that multiplying the original and perpendicular slopes together gets us -1
(-7/4)*(4/7) = -1
This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given
y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )
slope m = - [tex]\frac{7}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]
