Question

What is the slope of the line through left parenthesis negative 4 comma 3 right parenthesis and left parenthesis 9 comma 6 right parenthesis in the standard​ (x,y) coordinate​ plane?
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Part 1
A.negative three thirteenths
negative three thirteenths
B.negative three fifths
negative three fifths
C.nine fifths
nine fifths
D.three fifths
three fifths
E.three thirteenths
three thirteenths

Answer 1

To find the slope of the line that passes through the points \((-4, 3)\) and \((9, 6)\), we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where \((x_1, y_1) = (-4, 3)\) and \((x_2, y_2) = (9, 6)\).

Substituting these values into the formula gives:

\[
m = \frac{6 - 3}{9 - (-4)} = \frac{3}{9 + 4} = \frac{3}{13}
\]

Thus, the slope of the line is \(\frac{3}{13}\).

The correct answer is:

E. three thirteenths