Question

find the y-intercept of the line $y = -2x + 19$. 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 of the line. The y - intercept is the value of \(y\) when \(x = 0\).

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

In the given equation \(y=-2x + 19\), when we compare it with the slope - intercept form \(y = mx + b\), we can see that \(m=-2\) (the slope) and \(b = 19\) (the y - intercept). Since the y - intercept is the value of \(y\) when \(x = 0\), substituting \(x = 0\) into the equation \(y=-2(0)+19\), we get \(y = 19\).

Answer:

\(19\)