Question

find the y - intercept and the x - intercept of the line below. click on
one\ if applicable.
(a) y - intercept:
(b) x - intercept:

Explanation:

Step1: Recall the definition of intercepts

The \(x\)-intercept is the point where the line crosses the \(x\)-axis (\(y = 0\)). The \(y\)-intercept is the point where the line crosses the \(y\)-axis (\(x=0\)).

Step2: Analyze the vertical line

The given line is a vertical line \(x = 1\). For a vertical line \(x=a\) (\(a
eq0\)):

• To find the \(y\)-intercept, we set \(x = 0\). But for \(x = 1\), there is no value of \(y\) for which \(x=0\). So, there is no \(y\)-intercept.
• To find the \(x\)-intercept, we set \(y = 0\). The line \(x = 1\) crosses the \(x\)-axis at the point \((1,0)\). So the \(x\)-intercept is \(1\).

Answer:

(a) \(y\)-intercept: None
(b) \(x\)-intercept: \(1\)