Questions: Question 16 2 pts Given the points (1,-3) and (7,-8) find the slope. Question 17 2 pts Given the points (6,-1) and (4,3) find the slope. Question 18 2 pts Find the slope of the line that goes through the points (9,5) and (15,14). Slope, m= Enter your answer as an integer or a reduced fraction in the form A/B Question 19 2 pts (entry tip: if there is no slope type "DNE" for "does not exist" - no quotes) The slope between (-1,-7) and (5,-7) is

Solution Steps

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula for the slope \(m\), which is \((y_2 - y_1) / (x_2 - x_1)\). This formula calculates the change in \(y\) divided by the change in \(x\).

Given the points \((1, -3)\) and \((7, -8)\), we use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-3)}{7 - 1} = \frac{-8 + 3}{6} = \frac{-5}{6} \] Thus, the slope for Question 16 is approximately \(-0.8333\).

For the points \((6, -1)\) and \((4, 3)\), we apply the slope formula: \[ m = \frac{3 - (-1)}{4 - 6} = \frac{3 + 1}{-2} = \frac{4}{-2} = -2 \] Therefore, the slope for Question 17 is \(-2\).

Using the points \((9, 5)\) and \((15, 14)\), we find the slope: \[ m = \frac{14 - 5}{15 - 9} = \frac{9}{6} = \frac{3}{2} \] Thus, the slope for Question 18 is \(1.5\).

Final Answer