Answer:
The slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
Step-by-step explanation:
Given the equation
y = -1/8x +3
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
so the slope of the line is -1/8.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-1}{8}}=8[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
Therefore, the slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
