Question

choose the graph of this equation. $y = 2.5x$

Explanation:

Step1: Identify the equation type

The equation $y = 2.5x$ is a linear function passing through the origin $(0,0)$ with a slope of $2.5$.

Step2: Test a point

For $x=4$, $y = 2.5 \times 4 = 10$? No, wait—wait, check the grid: if the grid has each square as 1 unit, let's take $x=2$: $y=5$. The top-right graph shows when $x$ increases, $y$ rises with slope ~2.5 (steeper than 1, less than 3), matching the equation. The top-left is too steep (slope >2.5), bottom ones are too flat. So the top-right graph is correct.

Answer:

The graph in the top-right corner (with the checkmark)