Question

7 what is the slope and y - intercept of the given equation ( y = \frac{2}{3}x + 5 ) slope y intercept

Explanation:

Step1: Recall the 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: Compare the given equation with the slope - intercept form

The given equation is \(y=\frac{2}{3}x + 5\). By comparing it with \(y=mx + b\), we can see that \(m=\frac{2}{3}\) (which is the slope) and \(b = 5\) (which is the \(y\) - intercept).

Answer:

Slope: \(\frac{2}{3}\)
\(y\) - intercept: \(5\)