Question

what is the slope of this line?
simplify your answer and write it as a proper fraction, improper fraction, or integer.
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work it out
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Explanation:

Step1: Identify two points on the line

We can see that the line passes through the origin \((0,0)\) and another point, for example, \((1, 2)\) (we can also use other points like \((2,4)\), etc.). Let's take \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1,2)\).

Step2: Use 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 the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Substituting the values \(x_1 = 0\), \(y_1 = 0\), \(x_2 = 1\), and \(y_2 = 2\) into the formula, we get:

\(m=\frac{2 - 0}{1 - 0}=\frac{2}{1} = 2\)

Answer:

\(2\)