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find the slope. what is the slope of the line? convert the fraction int…

Question

find the slope.
what is the slope of the line?
convert the fraction into the a decimal.

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through \((0, 3)\) (the y - intercept) and \((8, 0)\) (the x - intercept).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0,3)\) and \((x_2,y_2)=(8,0)\).
Substitute the values into the formula: \(m=\frac{0 - 3}{8 - 0}=\frac{- 3}{8}\)

Step3: Convert the fraction to a decimal

To convert \(\frac{-3}{8}\) to a decimal, we perform the division: \(-3\div8=- 0.375\)

Answer:

\(-0.375\)