Question

which function is best represented by this graph? a $y = -\frac{5}{2}x + 5$ b $y = -\frac{5}{2}x + 2$ c $y = \frac{2}{5}x + 2$ d $y = -\frac{2}{5}x + 2$

Explanation:

Step1: Identify y-intercept

The graph crosses the y-axis at $(0, 5)$, so the y-intercept $b=5$. This eliminates options B, C, D, which have $b=2$.

Step2: Verify slope (optional check)

Use two points $(0,5)$ and $(2,0)$ to calculate slope:
$$m=\frac{0-5}{2-0}=-\frac{5}{2}$$
This matches the slope in option A.

Answer:

A. $y = -\frac{5}{2}x + 5$