Question

directions
carefully read each question and provide the best answer. make sure to try every question. the assignment will be automatic graded, and you will receive instant feedback on your performance.
question 1
if two graphs of linear functions have the same y - intercept, do they represent the same function? why or why not?
○ no; it would be impossible for them to represent the same function.
○ yes; if two graphs have the same y - intercept, they must represent the same function.
○ yes; if two graphs have the same y - intercept, they must have the same x - intercept as well.
○ no; they may have different slopes.

Explanation:

A linear function is defined by the form $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. Two linear functions are the same only if both their slope ($m$) and y-intercept ($b$) are identical. If two linear graphs share the same y-intercept ($b$) but have different slopes ($m$), they are distinct functions with different rates of change, even though they cross the y-axis at the same point.

Answer:

No; they may have different slopes.