Question

question
what is the slope of the line that passes through the points (4, 7) and (7, 16)? write your answer in simplest form.
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answer

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \((x_1, y_1)=(4, 7)\) and \((x_2, y_2)=(7, 16)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{16 - 7}{7 - 4}=\frac{9}{3} \).

Step4: Simplify the fraction

Simplify \(\frac{9}{3}\) to get \( 3 \).

Answer:

\( 3 \)