Question

due jan 21 by 11:59pm points 13 submitting an external tool available until may 22 at 11:59pm
assignment 2.2 linear equations in one variable
score: 8/13 answered: 9/13
question 10
find the slope of the line that passes through the points (-4, -2) and (6, 5). enter an exact value.
m =
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Explanation:

Step1: Recall 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Let \((x_1, y_1)=(-4, -2)\) and \((x_2, y_2)=(6, 5)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{5 - (-2)}{6 - (-4)} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 5 - (-2)=5 + 2 = 7 \).
Simplify the denominator: \( 6 - (-4)=6 + 4 = 10 \).
So, \( m=\frac{7}{10} \).

Answer:

\(\frac{7}{10}\)