Show step by step. i'll give it the brainliest for the right answer the slope of the line passing through (k+3,12) and (8,14+k) is 10. find the value of k. express your answer as a simplified improper fraction.

48/11 =k

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are two points

We have the slope of 10 and two points (k+3,12) and (8,14+k)

10 = (14+k-12)/(8-(k+3))

10 = (2+k)/(8-k-3)

10 = (2+k)/(5-k)

Multiply each side by (5-k) to clear the fraction

10(5-k) = (2+k) /(5-k) *(5-k)

10(5-k) = 2+k

Distribute the 10

50 -10k = 2+k

Add 10k to each side

50-10k+10k = 2+k+10k

50 = 2+11k

Subtract 2 from each side

50 -2 = 2-2+11k

48 = 11k

Divide by 11

48/11 = 11k/11

48/11 =k

This is an improper fraction

Step-by-step explanation:

Use the slope formula:

Let (x₁, y₁) = (k + 3, 12) . and (x₂, y₂) = (8, 14 + k)   then

Since, slope (m) is 10, set the slope (above) equal to 10 and solve for k:

why can't you?

step-by-step explanation:

the first one, all those points on the line just make a strait line.