Question

Identify the correct slope and y intercept of the equation x - 4y = 4.

Answer 1

Solve for y:

\[\Large x - 4y = 4\]

\[\Large -4y = -x + 4\]

\[\Large y = \frac{-x + 4}{-4}\]

\[\Large y = \frac{-x}{-4} + \frac{4}{-4}\]

\[\Large y = \frac{x}{4} -1\]

\[\Large y = \frac{1}{4}x -1\]


So the equation is now in y = mx+b form where m is the slope and b is the y-intercept


Since m = 1/4, this means that the slope is 1/4. Since b = -1, the y-intercept is -1, which is the point (0,-1)