Mathamatics Slope and Slope intercept form

Question

the graph of a function is a straight line that goes through the points (3,3), (5,7), and (6,y). what is the value of y?

Answer 1

Find the slope from the first and second points, then use the value of the slope and either the first or second point to find the unknown y.

x₁ = 3

y₁ = 3

x₂ = 5

y₂ = 7

x₃ = 6

y₃ = y

m = (y₂ - y₁)/(x₂ - x₁) = (7 - 3)/(5 - 3) = 4/2 = 2

m = (y₃ - y₁)/(x₃ - x₁) = (y - 3)/(6 - 3) = (y - 3)/3

2 = (y - 3)/3

Now solve for y and finish from here.