Line k passes through the point (1, 5) and is perpendicular to the line y = 3x + 1. which of the following points does line k also pass through?

select one:
a. (4, 4)
b. (-2, -5)
c. (3, 6)
d. (9, -1)

Option A. (4,4)

Step-by-step explanation:

step 1

Find the slope of the line k

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

The slope of the given line is

so

The slope of the line k is

step 2

Find the equation of the line k

The equation of the line into point slope form is equal to

we have

substitute the values

step 3

Verify if the line k pass through the given points

Remember that

If the line passes through a point, then the value of x and the value of y of the point must satisfy the equation of the line

Verify each case

case A) (4,4)

----> is true

therefore

The line k pass through the point (4,4)

case B) (-2,-5)

-----> is not true

therefore

The line k not pass through the point (-2,-5)

case C) (3,6)

-----> is not true

therefore

The line k not pass through the point (3,6)

case D) (9,-1)

-----> is not true

therefore

The line k not pass through the point (9,-1)

2

3 is greater then both of those numbers