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4.2 systems substitution: problem 9 (1 point) find the slope, if possib…

Question

4.2 systems substitution: problem 9
(1 point)
find the slope, if possible, of the line passing through the points, $(-1,4)$ and $(-1,3)$ and describe the line.
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Explanation:

Step1: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-1,4)\) and \((x_2,y_2)=(-1,3)\).

Step2: Substitute the values into the formula

\(m=\frac{3 - 4}{-1-(-1)}=\frac{-1}{0}\). Division by zero is undefined.

Answer:

a) The slope \(m\) is undefined.
b) The line is vertical.