Question

find the y-intercept of the line represented by the equation below. \\(\frac{3}{2}x = y\\)

Explanation:

Step1: Recall y-intercept formula

The y - intercept of a line in the form \(y = mx + b\) (slope - intercept form) is the value of \(y\) when \(x = 0\), and \(b\) is the y - intercept. First, rewrite the given equation in slope - intercept form. The given equation is \(y=\frac{3}{2}x\), which can be written as \(y=\frac{3}{2}x + 0\).

Step2: Substitute x = 0

To find the y - intercept, we substitute \(x = 0\) into the equation \(y=\frac{3}{2}x\). When \(x = 0\), we have \(y=\frac{3}{2}(0)\).

Step3: Calculate y value

\(\frac{3}{2}(0)=0\). So when \(x = 0\), \(y = 0\).

Answer:

The y - intercept is \(0\) (or the point \((0,0)\)).