Question

find the y-intercept of the line y = 8x + 15. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by the equation \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Identify \(b\) from the given equation

In the equation \(y=8x + 15\), when we compare it with the slope - intercept form \(y=mx + b\), we can see that \(m = 8\) (the slope) and \(b = 15\) (the \(y\) - intercept). The \(y\) - intercept is the value of \(y\) when \(x = 0\). If we substitute \(x = 0\) into the equation \(y=8x + 15\), we get \(y=8(0)+15=15\).

Answer:

\(15\)