Question

< BackSee SolutionShow ExampleRecord: 1/3 Score: 1 Penalty: 1 offComplete: 11% Grade: 0%Brianna AllenFinding the Slope from PointsJon 03, 7:15:08 PMWhat is the slope of the line that passes through the points (4, -9) and (8, -3)?Write your answer in simplest form.

Answer 1

To obtain the slope of the line that passes through the two given points, the following steps are recommended:

Step 1: Recall the formula for the slope of a line that passes through any two points (x1, y1) and (x2, y2), as follows:

`\text{slope}=(y_2-y_1)/(x_2-x_1)`

Step 2: Apply the formula to find the slope of the line that passes through the points (4, -9) and (8, -3), as follows:

`\begin{gathered} \text{Given that:} \\ (x_1,y_1_{})=(4,-9) \\ (x_2,y_2)=(8,-3) \\ \text{Thus:} \\ \text{slope}=(y_2-y_1)/(x_2-x_1) \\ \Rightarrow\text{slope}=\frac{-3_{}-(-9)_{}}{8_{}-4_{}}=(-3+9)/(4)=(6)/(4)=(3)/(2) \\ \Rightarrow\text{slope}=(3)/(2) \end{gathered}`

Therefore, the slope of the line that passes through the points (4, -9) and (8, -3) is 3/2