Choose the Correct Graph for Y = 3X: Understanding Linear Functions

Given that Y is a function of X that matches any value of 3 times X

Choose the appropriate graph to describe the function

To solve this problem, we'll follow these steps:

• Identify the given function $Y = 3X$.
• Recall that the equation describes a straight line with a slope $m = 3$ and y-intercept $b = 0$.
• Plot the graph as a line through the origin (0,0), rising 3 units for every 1 unit it runs.
• Analyze each provided graph to find the graph that matches this description.

Given these steps, start plotting the graph from the origin. The slope of 3 implies a steep line where for each unit moved horizontally (to the right), the line moves three units vertically (upwards).

Examining the graphical choices:

• Option 1 correctly represents a line with slope 3 through (0,0).

Therefore, the graph that describes the function $Y = 3X$ is choice Option 1, which matches the linear equation characteristics.