Question

Need help finding the answer to see where i went wrong(15)

Answer 1

Given that a line has its x-intercept as -8 and its y-intercept as 5, we can determine the slope of a line perpendicular to this line below.

Step-by-step explanation

We can derive two points that the given line passes through using the x and y-intercept. This can be expressed as;

`\begin{gathered} x_1,y_1=(-8,0) \\ x_2,y_2=(0,5) \end{gathered}`

Therefore using the slope formula we would have;

`m=(y_2-y_1)/(x_2-x_1)=(5-0)/(0-(-8))=(5)/(8)`

For two lines to be perpendicular, their slope can be expressed as;

`\begin{gathered} m_1m_2=-1 \\ \therefore taking\text{ the slope of the given line as }m_1 \\ (5)/(8)* m_2=-1 \\ (5m_2)/(8)=-1 \\ 5m_2=-8 \\ m_2=-(8)/(5) \end{gathered}`

Answer:

`m_(2)=-(8)/(5)`