1) Obtain the slope of the line graphed
The formula for the slope is m = rise / run = Δy / Δx
The origin of the graph is not well defined, but it is shown that the line passes through the points (0,-2) and (2,10)
That means m = (10 - (-2) ) / (2 - 0) = 12 / 2 = 6
2) The slope of any parallel line is the same: 6
3) Use the slope-point equation to find the final equation: (y - b) = m (x - a)
point (a,b) = (2,5)
m = 6
=> y - 5 = 6 (x - 2)
=> y - 5 = 6 x - 12
=> y = 6x - 12 + 5
=> y = 6x - 7
Therefore, the answer is the option D. y = 6x - 7
