Final answer:
The correct representation of the relation represented by the points (0,5) and (-2,0) is an equation with a slope of 5/2 and a y-intercept of 5.
Step-by-step explanation:
The student is asking for a different representation for the given relation represented by the points (0,5) and (-2,0). We can determine the correct representation by confirming which option depicts the same linear relationship as these points.
To express this relationship, we can find the slope (m) and y-intercept (b) of the line to write the equation in the form y = mx + b.
To find the slope (m) between the points (0,5) and (-2,0), use the slope formula: m = (y2 - y1) / (x2 - x1).
Thus, m = (0 - 5) / (-2 - 0)
= 5 / 2.
So, the slope is 2.5 or 5/2.
The y-intercept (b) is the y-value when x is 0, which is 5 based on the point (0,5).
Therefore, the equation that represents this line is y = (5/2)x + 5. The correct representation will have a slope of 5/2 and a y-intercept of 5.