Concept:Find the equation of a straight line given its intercepts on the y-axis and x-axis.Explanation:The line passes through (0,5) and (5,0). Let (x1,y1)=(0,5) and (x2,y2)=(5,0). Use the two-point form of a line: y2−y1y−y1=x2−x1x−x1 Substitute the coordinates: 0−5y−5=5−0x−0−5y−5=5x Cross-multiply: 5(y−5)=−5x Divide through by 5: y−5=−x Add 5 to both sides: y=−x+5Answer:y=−x+5 This corresponds to option B.
