Question

2

56. Which line is perpendicular to the line
y-3x + 2?
A. 3x + y = 4
B. + 3y = 24
C3x-y=5
D. x-3y = 3

Answer 1

D

Explanation:

Here, we want to get the equation of the line perpendicular to;

y = -3x + 2

From here, we can compare with the standard form of the equation of a straight line which is;

y = mx + c

From here m = -3

The slope is -3

Now, if two lines are perpendicular, the product of their slopes is -1

Thus;

-3 * m = -1

m = 1/3

So we want to select an equation out of the options that has a slope of 1/3

Let us take a look at the last option

x -3y = 3

3y = x-3

divide through by 3

y = x/3-1

So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope