For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?

k = -2

Step-by-step explanation:

Given equation

1-kx = -3y

point on this line =  (4,-3)

If point lies on the given line, then if we plug in the value  (4,-3), then it will satisfy the equation

1-kx = -3y

using x = 4 and y = -3

1-k*4 = -3*-3

1 - 4k = 9

=> -4k = 9 -1 = 8

=> k = 8/-4 = -2

Thus, value of k is -2

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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