Question

line / is shown in the xy - plane below. using a simplified fraction, what is the slope (m) of the line parallel to line /? type your answer...

Explanation:

Step1: Select two points on the line

Let's choose two points \((x_1,y_1)\) and \((x_2,y_2)\) from the line. For example, \((3, - 2)\) and \((6,0)\)

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 3,y_1=-2,x_2 = 6,y_2 = 0\) into the formula:

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Since parallel lines have the same slope, the slope of the line parallel to line \(l\) is also \(\frac{2}{3}\)

Answer:

\(\frac{2}{3}\)