Answer:
The slope of the line perpendicular to the given line is = [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Given equation of line:
[tex]y=4x-6[/tex]
To find slope of the line perpendicular to the given line.
Solution:
For two line which are perpendicular to to each other is related as :
[tex]m_1=-\frac{1}{m_2}[/tex]
where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of the line.
The slope of the line given can be determined by comparing it with the standard slope intercept equation which is [tex]y=mx+b[/tex] where [tex]m[/tex] represents slope of the line.
Thus, the slope of the given line = 4 as slope is the co-efficient of [tex]x[/tex] in the equation.
Thus, the slope of the line perpendicular will be given as:
[tex]m_1=-\frac{1}{4}[/tex]
