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)

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.