#### Elena wanted to find the slope and the y-intercept of the graph of 25 x - 20 y = 100. She decided to put the equation in slope-intercept form first. Here is her work:

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25x -20 y = 100

20y = 100 + 25x

y = 5 + \frac{5}{4}x

She concluded that the slope is \frac{5}{4} and the y-intercept is (0,5).

- What was Elena’s mistake?
- What are the slope and y -intercept of the line? Explain or show your reasoning.