Question

please help me I'm confused :((

The points E(5, 12), F(-1, 8) and G(2, k) are located
straight line. Find the value of k.

please give me the solving steps ​

Answer 1

Answer:

• k = 10

Step-by-step explanation:

Use the first two points to get a formula of the line E(5, 12), F(-1, 8)

• y = mx + b is the slope-intercept formula

m is found using two points as:

• m = (y₂ - y₁)/(x₂ - x₁)
• m = (8 - 12)/(-1 -5) = -4/-6 = 2/3

The formula becomes:

• y = 2/3x + b

Then we find the value of b using one of the points. Let's use point E(5, 12)

• 12 = 2/3*5 + b
• 12 = 10/3 + b
• b = 12 - 10/3 = 26/3

So the formula now is:

• y = 2/3x + 26/3

To find the missing coordinate we substitute x with 2 and y with k:

• k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10

• k = 10

Answer 2

Answer:

k = 10

Hope it helped:D