Answer:
Given lines are PERPENDICULAR to each other.
Step-by-step explanation:
We have the equations, [tex]y=4x+3[/tex] and [tex]y=-\frac{x}{4}-5[/tex]
The slope-intercept form of a straight line is 'y=mx+b', where m is the slope and b is the y-intercept.
So, accordingly we get that,
The given equations have slopes [tex]m=4[/tex] and [tex]m=\frac{-1}{4}[/tex].
As we see that, [tex]4\times \frac{-1}{4}=-1[/tex]
Thus, the product of the slopes of the given lines is -1.
Hence, the given lines are PERPENDICULAR to each other.
