ryanbasdao

ryanbasdao

14.04.2020 •

Mathematics

Answer the circled ones and ill give brainiest!!

Answer the circled ones and ill give brainiest!!

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Ответ:

keilyn80

10.12.2020

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

m1*m2=-1

The slope of the given line is m1=3

so

The slope of the line k is

m2*(3)=-1

$m2=-\frac{1}{3}$

step 2

Find the equation of the line k

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

y-y1=m(x-x1)

we have

$m=-\frac{1}{3}$

point(1,5)

substitute the values

$y-5=-\frac{1}{3}(x-1)$

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)

$4-5=-\frac{1}{3}(4-1)$

$-1=-\frac{1}{3}(3)$

-1=-1 ----> is true

therefore

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

case B) (-2,-5)

$-5-5=-\frac{1}{3}(-2-1)$

-10=-1 -----> is not true

therefore

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

case C) (3,6)

$6-5=-\frac{1}{3}(3-1)$

$1=-\frac{2}{3}$ -----> is not true

therefore

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

case D) (9,-1)

$-1-5=-\frac{1}{3}(9-1)$

$-6=-\frac{8}{3}$ -----> is not true

therefore

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

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