Respuesta :

mjmac0107

Answer:

I'm pretty sure it would be y=4/3x-1.

Step-by-step explanation:

To find a line perpendicular to an already given line, you would switch the sign of the slope. For example if it is already negative, it would flip to be positive and if it were positive, it would flip to be negative. Then you would plug in the new y coordinate at the end so instead of -3 it would be -1. You would also have to do the reciprocal of the slope so you would flip it to be 4/3 instead of 3/4.

Answer:

y = [tex]\frac{4}{3}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{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{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]

The line passes through (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{3}[/tex] - 1 ← equation of perpendicular line

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