Question

5. Elena wanted to find the slope and y-intercept of the graph of 25x - 20y = 100.She decided to put the equation in slope-intercept form first. Here is her work-25x – 20y = 10020y = 100 – 25x5y = 5 --X-5. Describe Elena's mistake in her work above, and what the correct slopeand y-intercept of the line are.What are the x- and y-intercepts of the equation 4y + 9x = 18?

Answer 1

Given the equation:

25x - 20y = 100

Let' write the equation in slope-intercept form and find the mistaeke in Elena's worl.

Apply the slope intercept form of a linear equation:

y = mx + b

Rewrite the equation for y:

25x - 20y = 100

• Subtract 25x from both sides:

25x - 25x - 20y = 100 - 25x

-20y = 100 - 25x

• Divide all terms by -20: