Answer:
A. -10
Step-by-step explanation:
Hi there!
We are given that the equation of line m is [tex]y=\frac{1}{10}x[/tex], and we want to find the slope of the line perpendicular to m
Perpendicular lines have slopes that multiply to get the result of -1
So let's find the slope of line m
The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept
As [tex]\frac{1}{10}[/tex] is in the place of where the slope should be, [tex]\frac{1}{10}[/tex] is the slope
Now find the slope of the perpendicular line with this formula:
[tex]m_1*m_2=-1[/tex]
[tex]m_1=\frac{1}{10}[/tex]
In that case,
[tex]\frac{1}{10}*m_2=-1[/tex]
Multiply both sides by 10
[tex]m_2=-10[/tex]
So the slope of the perpendicular line is -10, or A
Hope this helps!
