Question

convert the standard form equation into slope - intercept form.\\(x - 5y = 10\\)\\(y = \frac{1}{5}x - 2\\)\\(y = -\frac{1}{5}x + 2\\)\\(y = -\frac{1}{5}x - 2\\)\\(y = \frac{1}{5}x + 2\\)

Explanation:

Step1: Isolate the y-term

$x - 5y = 10 \implies -5y = -x + 10$

Step2: Solve for y (divide by -5)

$y = \frac{-x}{-5} + \frac{10}{-5} \implies y = \frac{1}{5}x - 2$

Answer:

y = 1/5x - 2 (the option in the yellow box)