Answer:
[tex]\boxed {\boxed {\sf m= - \frac{5}{4} }}[/tex]
Step-by-step explanation:
The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The line passes through (3,14) and (7,9). Therefore,
[tex]x_1=3 \\y_1=14 \\x_2=7 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m= \frac{9-14}{7-3}[/tex]
Solve the numerator.
[tex]m=\frac{-5}{7-3}[/tex]
Solve the denominator.
[tex]m= \frac{-5}{4}[/tex]
This fraction is reduced, so it is the answer.
The slope is equal to -5/4
