Question

Line 1 passes through (-9,-4) and (-4,3). Line 2 passes through (7,-8) and (10,7). Why are the lines perpendicular? *1 pointSlope of line 1 is -1/5Slope of line 1 is -5Slope of line 1 is 5Slope of line 2 is -1/5Slope of line 2 is -5Slope of Line 2 is 5The slope of both lines are the same so they are perpindicularThe product of both slopes are -1 so they are perpendicular

Answer 1

`\text{Slope = }\frac{\text{ change in y}}{change\text{ in x}}`

For line 1

`\begin{gathered} \text{Slope}=\text{ }(3-(-4))/(-4-(-9)) \\ \\ =(3+4)/(-4+9) \\ =(7)/(5) \end{gathered}`

For line 2

`\begin{gathered} \text{slope = }(7-(-8))/(10-7) \\ =(7+8)/(3) \\ =(15)/(3) \\ =5 \end{gathered}`