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:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet