Question

Which of the function rules below would result in the following graph?10980U43ولا111+3 4 5 0 7 8 7 8C.y = 2x + 1a. y = 0.5x+1b. y = 0.5x-1d.2y=-x+1

Answer 1

Given data:

The given graph .

The equation of the line passing through (2, 2) and (6, 4) is,

$\begin{gathered} y-2=\frac{4-2}{6-2}(x-2) \\ y-2=\frac{2}{4}(x-2) \\ y-2=\frac{1}{2}(x-2) \\ y=0.5x-1+2 \\ y=0.5x+1 \end{gathered}$

Thus, the equation of the line is y=0.5x+1, so option (a) is correct.