Question

what is the slope of the line whose equation is $y - 4 = \frac{5}{2}(x - 2)$?

Explanation:

Step1: Recall Point - Slope Form

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \(m\) is the slope of the line and \((x_1,y_1)\) is a point on the line.

Step2: Compare with Given Equation

The given equation is \(y - 4=\frac{5}{2}(x - 2)\). By comparing this equation with the point - slope form \(y - y_1=m(x - x_1)\), we can see that \(m=\frac{5}{2}\), \(x_1 = 2\) and \(y_1=4\).

Answer:

\(\frac{5}{2}\)