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Create a rule for the line that contains the points (1, 1/4) and (3, 3/4)

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Answer to a math question Create a rule for the line that contains the points (1, 1/4) and (3, 3/4)

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Jayne

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106 Answers

To find the equation of the line passing through the points (1, 1/4) and (3, 3/4), we can use the point-slope form of the equation of a line:

Point-slope form:

y - y_1 = m(x - x_1)

First, let's find the slope

using the given points:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

m = \dfrac{\frac{3}{4} - \frac{1}{4}}{3 - 1}

m = \dfrac{\frac{2}{4}}{2} = \frac{1}{4}

Now, choose one of the points to substitute into the point-slope form. Let's use the point (1, 1/4):

y - \frac{1}{4} = \frac{1}{4}(x - 1)

y - \frac{1}{4} = \frac{1}{4}x - \frac{1}{4}

Now, simplify the equation:

y = \frac{1}{4}x

Therefore, the rule for the line passing through the points (1, 1/4) and (3, 3/4) is

y = \frac{1}{4}x

.

\textbf{Answer:}

y = \frac{1}{4}x

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Create a rule for the line that contains the points (1, 1/4) and (3, 3/4)

Answer to a math question Create a rule for the line that contains the points (1, 1/4) and (3, 3/4)

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