Question

click and drag to plot a parallel line. the line will change colors when a parallel or perpendicular line is drawn accurately. answer attempt 1 out of 3 original slope: input box undefined parallel slope: input box undefined

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the given line. Suppose the two - point form of the line has points \((- 3,0)\) and \((0,-7)\).

Step2: Calculate the slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1=-3,y_1 = 0,x_2 = 0,y_2=-7\) into the formula, we get \(m=\frac{-7 - 0}{0+3}=-\frac{7}{3}\).

Step3: Recall parallel - line property

Parallel lines have the same slope. So if the slope of the original line is \(m_1=-\frac{7}{3}\), the slope of a parallel line \(m_2\) is also \(m_2 =-\frac{7}{3}\).

Answer:

Original Slope: \(-\frac{7}{3}\)
Parallel Slope: \(-\frac{7}{3}\)