Question

Which function passes through the points (2, 3) and (4, 4)?

Answer 1

Answer: c

Step-by-step explanation:

Y=1/2x+2

Answer 2

Point -slope form of a straight:
we have a point (x₀,y₀) and the slope m.

y-y₀=m(x-x₀)

Given two points (x₁,y₁) and (x₂,y₂) the slope will be:

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

In this case:
(2,3)
(4,4)

m=(4-3) / (4-2)=1/2

we can choose the point (2,3) or the point (4,4); the result will be the same.

y-y₀=m(x-x₀)
y-4=1/2(x-4)
y=1/2 x-2+4
y=1/2 x + 2

Answer: the funciton passes through the poinsts (2,3) and (4,4) is:
y=1/2 x+2