Answer:
I am confused on what means fully simplify your answer, i am doing it how i usually do
Slope is 5/4
Step-by-step explanation:
Solution
For slope of st.line with equation 4x+5y=35
Slope(m1)
[tex]=\frac{-x}{y}\\=\frac{-4}{5}[/tex]
Let the slope of required st.line be m2
Since the lines are perpendicular to each other.
[tex]m_{1}m_{2}=-1\\or, \frac{-4}{5}m_{2} = -1\\or, m_{2}=\frac{-1* 5}{-4}\\m_{2}=\frac{5}{4}[/tex]
Therefore, the required slope is 5/4
