What is the y-intercept of the line perpendicular to the line y = 4/3x + 1 that includes the point (4, 1)? A)2
B) -13/3
C) 4
D) -19/3

C) 4

Step-by-step explanation:

Hi there!

We are given the line y=4/3x+1

We want to find the y intercept of the line perpendicular to that line, that also passes through the point (4,1)

Perpendicular lines have slopes that have a product of -1

We'll first find the slope of y=4/3x+1

The equation is written in slope-intercept form (y=mx+b), where m is the slope and b is the y intercept

4/3 is in the place of where m (the slope) is, so the slope of the line is 4/3

Now to find the slope perpendicular to it, use this formula:

4/3m=-1

Multiply both sides by 3/4

m=-3/4

The slope of the line perpendicular to y=4/3x+1 is -3/4

We can write the equation of the new line in slope-intercept form as well; start by substituting -3/4 as m:

y=mx+b

y=-3/4x+b

Now we need to find b (y intercept)

As the equation includes the point (4,1), we can use it to help solve for b

Substitute 4 as x and 1 as y:

1=-3/4(4)+b

Multiply

1=-3+b

Add -3 to both sides

4=b

The y intercept of the line is 4

Hence, the answer is C

Hope this helps!

4

Step-by-step explanation:

If i did it right you would use the formula y-y1=m(x-x1)

Plug in y-1=-3/4(x-4)

-3/4 because perpendicular you need to flip and make negitive.

Distribute  y-1=-3/4x-12/4

move the one over y=-3/4x+4

4 being the y-intercept and -3/4 being the slope

Hope this helps!

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: