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webwork / fa25 math098 - all / hw2.6 lines / 2
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hw2.6 lines: problem 2
(1 point)
find the slope of the line through $(-5,-4)$ and $(10,9)$.
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Explanation:

Step1: Identify the formula for slope

The formula for 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: Assign values to variables

Let \((x_1,y_1)=(-5,-4)\) and \((x_2,y_2)=(10,9)\). Then \(y_2 - y_1=9-(-4)=9 + 4 = 13\) and \(x_2 - x_1=10-(-5)=10 + 5=15\).

Step3: Calculate the slope

Substitute into the formula: \(m=\frac{13}{15}\).

Answer:

\(\frac{13}{15}\)