Question

Please help me I'm confused :((

Answer 1

Answer:

k = 14

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 = 46/3

So the formula now is:

• y = -2/3x + 46/3

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

• k = -2/3*2 + 46/3 = - 4/3 + 46/3 = 42/3= 14

• k = 14

Answer 2

Plot points E and F on a graph. Point G will be located is you draw a line through Points E and F.