Use an equation to find the value of k so that the line that passes through the given points has the given slope. (−4,k), (6,−7); m=−15

k = 143

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line:

y-h = m(x-k), where (h,k) is one of the given points and m is the given slope (-15).  Here I'll use the point (-4,k).

y-k = -15(x-[-4]), or y - k = -15(x+4).  Now use info from the other point:  x=6 and y = -7:

-7 - k = -15(6+4).  Here we have enough info to be able to find k.

Solving for -k, we get -k = 7 - 90 - 60, or -k = -143.  Then k = 143.

step-by-step explanation:

jjj

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: