The line joining the points (2,-1) and (5,-6) is bisected at p. if p lies on the line 2x+4y+k=0, find the value of k

k = 7

Step-by-step explanation:

Find the coordinates of P using the midpoint formula

P = [(2 + 5), (- 1 - 6) ]

  = ( ,  - )

Since the line passes through P the the coordinates of P make the equation true.

Substitute the coordinates of P into the equation

2 × + 4 × - + k = 0, that is

7 - 14 + k = 0

- 7 + k = 0 ( add 7 to both sides )

k = 7

w'x is 0.

hope it

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is