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Select the slope of the line that passes through the two points.






-(2)/(3)
0
Undefined



(12,-2) and 
(3,4)
Select Choice 
vv
Select Choice 
vv
Select Choice 
vv

Select the slope of the line that passes through the two points.\newline\begin{tabular}{|c|c|c|c|}\newline\hline & 23 -\frac{2}{3} & 00 & Undefined \\\newline\hline(12,2) (12,-2) and (3,4) (3,4) & Select Choice \vee & Select Choice \vee & Select Choice \vee \\\newline\hline\newline\end{tabular}

Full solution

Q. Select the slope of the line that passes through the two points.\newline\begin{tabular}{|c|c|c|c|}\newline\hline & 23 -\frac{2}{3} & 00 & Undefined \\\newline\hline(12,2) (12,-2) and (3,4) (3,4) & Select Choice \vee & Select Choice \vee & Select Choice \vee \\\newline\hline\newline\end{tabular}
  1. Find Slope Formula: To find the slope mm we use the formula m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Plug in Coordinates: Plug in the coordinates into the formula: m=4(2)312m = \frac{4 - (-2)}{3 - 12}.
  3. Calculate y-coordinate difference: Calculate the difference in y-coordinates: 4(2)=4+2=64 - (-2) = 4 + 2 = 6.
  4. Calculate x-coordinate difference: Calculate the difference in x-coordinates: 312=93 - 12 = -9.
  5. Divide Differences: Now divide the differences: m=69.m = \frac{6}{-9}.
  6. Simplify Fraction: Simplify the fraction: m=23m = -\frac{2}{3}.

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