Get comprehensive solutions to your problems with IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.
Answer:
[tex]y = - \frac{1}{3} x + 2[/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
y= 3x +4
Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.
slope= 3
The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.
m(3)= -1
Divide both sides by 3:
m= -⅓
y= -⅓x +c
Since the question does not specify the points the perpendicular line passes through, c can be any integer.
Thus, the equation of the perpendicular line could be y= -⅓x +2.