Question

find the point slope form of a line with slope: \\(\frac{1}{2}\\) that passes through \\((4,4)\\)\\((y - \square) = \square (x - \square)\\)question help: \\(\boxed{\text{video}}\\) \\(\boxed{\text{message instructor}}\\)

Explanation:

Step1: Recall point - slope formula

The point - slope form of a line 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 \(m\), \(x_1\) and \(y_1\)

We are given that the slope \(m=\frac{1}{2}\) and the point \((x_1,y_1)=(4,4)\).

Step3: Substitute into the formula

Substituting \(m = \frac{1}{2}\), \(x_1 = 4\) and \(y_1=4\) into the point - slope formula \(y - y_1=m(x - x_1)\), we get \(y - 4=\frac{1}{2}(x - 4)\).

Answer:

The first box (for \(y_1\)) is \(4\), the second box (for \(m\)) is \(\frac{1}{2}\), and the third box (for \(x_1\)) is \(4\). So the equation is \((y - 4)=\frac{1}{2}(x - 4)\)