the graph of a function is a line that passes through the points (1,5) (3,11) and (7,y). what is the value of y?

Question

i need help with this pleaseee

Answer 1

I will set this up for you to solve.

x₁ = 1

y₁ = 5

x₂ = 3

y₂ = 11

x₃ = 7

y₃ = y

First, find the slope from

m = (y₂ - y₁) / (x₂ - x₁)

Plug in the numbers and get m. Then get y from either of the equations below, which all have the same slope m which you found in the step above:

(y - y₂) / (7 - x₂) = m

Solve this for y. You can also get y from

(y - y₁) / (7 - x₁) = m

This works because it is the same slope everywhere along the line.