Answer:
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.
