Find the slope of the line through each pair of points. 3) (19,11),(19,-9) A) -(1)/(20) B) 20 C) -20 D) (1)/(20)

## Step 1<br />The slope of a line passing through two points \((x1, y1)\) and \((x2, y2)\) is given by the formula:<br />### \(m = \frac{y2 - y1}{x2 - x1}\)<br />where \(m\) is the slope.<br /><br />## Step 2<br />In this problem, the two points are \((19,11)\) and \((19,-9)\). Substituting these values into the formula, we get:<br />### \(m = \frac{-9 - 11}{19 - 19}\)<br /><br />## Step 3<br />The denominator of the fraction is zero, which means the slope is undefined. This is because the line is vertical.