Question

find the y-intercept of the line y = 6x + 8. write your answer as an integer or as a simplified proper or improper ordered pair.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. The $y$-intercept is the point where the line crosses the $y$-axis, and at this point, $x = 0$.

Step2: Identify the $y$-intercept from the equation

Given the equation $y=6x + 8$, comparing it with $y=mx + b$, we can see that $b = 8$. When $x = 0$, $y=b$. So the $y$-intercept as an ordered pair is $(0,8)$ and the $y$-intercept value (the $y$-coordinate when $x = 0$) is $8$.

Answer:

The $y$-intercept is $(0, 8)$ (or just $8$ as the $y$-coordinate of the $y$-intercept). If we consider the answer as an ordered pair, it is $(0,8)$; if we consider just the value, it is $8$.