Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answer

y = (-1/3)x - 3

Explanation

To get the equation of a line we need; gradient of that line and and a point that lies on that line.

Firstly, we find the midpoint to get the point that lies on the required equaion.

midpoint = ((4+2)/2 , (1+ -5)/2)

= (6/2, -4/2)

= (3, -2)

Secondly, we find the gradient of the line.

gradient = Δy/Δx

= (1- -5)/(4-2)

= 6/2

= 3

The products of gradients of perpendicular line is -1.

∴ m₁ ₓ m₂ = -1

3 ₓ m₂ =-1

m₂ = -1/3

Now that we have the gradient and the point, we can find the equation a follows:

-1/3 = (y - -2)/(x-3)

-1(x-3) = 3(y+2)

-x + 3 = 3y +6

3y = -x - 3

y = (-1/3)x - 3

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation: