Classify the Linear Function: y=-5x+31 in Slope-Intercept Form

The function $y = -5x + 31$ is analyzed as follows:

• The slope of the function $y = -5x + 31$ is $-5$, which is negative. This implies that the function is decreasing. Therefore, option 3 is correct.
• The function $y = -5x + 31$ is in the form $y = mx + b$, with a slope ($m$) of $-5$. The function $y = 3 - 5x$ can be rewritten as $y = -5x + 3$, where the slope is also $-5$. Hence, these two lines are parallel. Therefore, option 1 is correct.
• The function $y = 2x + 31$ intersects the y-axis at $y = 31$. The given function $y = -5x + 31$ also intersects the y-axis at $y = 31$. Therefore, option 2 is correct.

Given that all individually assessed options are correct, the best answer is option 4: "All answers are correct."