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

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

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

Answer

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: Identify the Slope from the 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}).

Answer:

(\frac{5}{2})