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MissPhiladelphia

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Therefore, the slope of the line with the given points would be :

slope = (b - 0) / (a - 0) = b/a

Answer:

The slope is \(\frac{b}{a}\)

Step-by-step explanation:

Since, the slope of a line passes through the points \((x_1,y_1)\) and \((x_2, y_2)\) is,

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Thus, the slope of the line that contains the points named E(0, 0) and F(a, b) is,

\(m=\frac{b-0}{a-0}=\frac{b}{a}\)

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