[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the gradient of the line joining (-1,9) and (3,5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Use the slope formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Replace the letters with the numbers:-
[tex]\boxed{\frac{5-9}{3-(-1)}}[/tex]
[tex]\circ[/tex] On simplification,
[tex]\boxed{\frac{-4}{3+1}}[/tex]
[tex]\circ[/tex] On further simplification,
[tex]\boxed{\frac{-4}{4}}[/tex]
[tex]\circ\sf{SLOPE=-1}[/tex]
[tex]\rule{300}{1}[/tex]