Question

Explain how you can find the y-intercept of a linear equation and how that is different from finding the y-intercept of a geometric equation

Answer 1

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).

Answer 2

The y intercept is the point where a given graph crosses the y axis. Since points on the y axis come in the form (0, y), you can find the y-intercept of any function by evaluating it a zero.

Given a function

$y=f(x)$

You can find its y-intercept (assuming that the function is defined at 0) by evaluating it at zero: the y intercept will be the point

$(0, f(0))$