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

C. y=1/2x+2

Step-by-step explanation:

1. Find the slope using the slope formula.

Slope formula: y2-y1/x2-x1

Let the y-value in the second ordered pair (4,4) be y2, and the 3 in the first ordered pair (2,3) be y1. 4 and 2 from these ordered pairs will be x2 and x1.

Plug these values into the equation and simplify.

4-3/4-2

=1/2

Slope is 1/2

2. Choose one of the ordered pairs and plug those numbers and the slope into the point-slope formula.

Point slope formula: y-y1=m(x-x1). M represents the slope, and the x1 and y1 represent the values of the ordered pair.

Let's use the pair (4,4).

y-4=1/2(x-4)

3. Simplify the equation to convert to y=mx+b format.

Multiply the inside of the parentheses by 1/2.

y-4=1/2x-2

Add 4 to both sides.

y=1/2x+2

3. C is your answer, for it matches what you found in the calculations.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)