1. The problem involves understanding and interpreting linear equations of the form $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. The equations given are: - $y = 25x$ - $y = 100x$ - $y = 25x + 100$ - $y = -25x + 100$ - $y = 100x + 25$ 3. For each equation, identify the slope ($m$) and the y-intercept ($b$): - $y = 25x$: slope $m = 25$, intercept $b = 0$ - $y = 100x$: slope $m = 100$, intercept $b = 0$ - $y = 25x + 100$: slope $m = 25$, intercept $b = 100$ - $y = -25x + 100$: slope $m = -25$, intercept $b = 100$ - $y = 100x + 25$: slope $m = 100$, intercept $b = 25$ 4. The slope $m$ indicates the steepness and direction of the line: positive slopes go upward, negative slopes go downward. 5. The y-intercept $b$ is the point where the line crosses the y-axis. 6. Matching each equation to its description involves comparing these values to the textual descriptions provided (not shown here). Final answer: The key to matching is to use the slope and intercept values identified above.