Question

Are these lines perpendicular?While these lines mayappear to intersect at a 90°angle, it is best to find theirslopes to make sure.Orange line[?]runSlope = rise=Hint: First enter therise, or change in y-value, of the orangeline.

Answer 1

The lines are NOT perpendicular.

Step-by-step explanation

The slope of the orange line is given as follows:

`\text{Slope }=(rise)/(run)=(\Delta y)/(\Delta x)=(2-0)/(3-0)=(2)/(3)`

Similarly, the slope of the blue line is given as follows:

`\text{Slope }=(rise)/(run)=(\Delta y)/(\Delta x)=(0-2)/(0--1)=(-2)/(1)=-2`

For these lines to be perpendicular, the product of the two slopes must be equal to -1.

The product of the two slopes =

`\begin{gathered} (2)/(3)*-2=-(4)/(3) \\ -(4)/(3)\\e-1 \end{gathered}`

Hence, the lines are NOT perpendicular.