Question

Which of these lines is perpendicular to the line y = 3x + 2?

Answer 1

Answer:

(c)  $y=\frac{-1}{3}x+4$  will be perpendicular to the line y = 3x+2

Step-by-step explanation:

We have given the the equation of line as y = 3x+2

We know the equation of line as y = mx+c , here m is slope and c is intercept

On comparing with standard equation of line m = 3

We know that slope of perpendicular line is $=\frac{-1}{m}$

So the slope of the line which is perpendicular to y = 3x+2  will be $=\frac{-1}{3}$

Now (a) Line is given as $y=\frac{1}{3}x+3$ its slope is $\frac{1}{3}$ so it will be not perpendicular

(b)  Line is given as $y=\frac{1}{3}x+2$ its slope is $\frac{1}{3}$ so it will be not perpendicular

(c)  Line is given as $y=\frac{-1}{3}x+4$ its slope is $\frac{-1}{3}$ so it will be perpendicular to the line y = 3x+2

(d) Line is given as $y=3x+\frac{1}{2}$ its slope is 3 so it will not perpendicular to the line y = 3x+2