Since the question asks for a line perpendicular to the line 2x+5y=10, you need to find the slope of the line and then take the negative reciprocal to find the slope. You can convert the equation into the y=mx+b format in order to find the slope, or simply remember that when an equation is presented in the form Ax +By=C, the slope is equal to BA​. So the slope of this line is −52​, and the slope of a perpendicular line would be 25​.Look at the answer choices for one with a positive (upward) slope. Choices (B) and (C) slope downward, so eliminate them. Next, use points in the graph to find the slope of each answer. Eliminate (A); it has points at (1,0) and (2,5), for a slope of 5-too steep. The only remaining choice is (D), which is the correct answer.