Question

identify the slope and y-intercept for the linear equation below.
y = x + 8
y-intercept =
slope =

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify \(m\) and \(b\) in \(y = x+8\)

In the equation \(y=x + 8\), we can rewrite \(x\) as \(1\times x\). Comparing with \(y = mx + b\), we have \(m = 1\) (the coefficient of \(x\)) and \(b = 8\) (the constant term).

Answer:

\(y\) - intercept \(= 8\)
slope \(= 1\)