Answer:
[tex]\boxed {\boxed {\sf m= - \frac{3}{5} }}[/tex]
Step-by-step explanation:
Slope can be found by dividing the change in y by the change in x.
[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 points we are given are:
[tex](-3,4 ) \ and \ (2,1)[/tex]
Therefore,
[tex]x_1=-3 \\y_1= 4 \\x_2= 2\\y_2=1[/tex]
Substitute the values into the formula.
[tex]m=\frac{1-4}{2--3}[/tex]
Solve the numerator.
[tex]m= \frac{-3}{2--3}[/tex]
Solve the denominator.
- 2--3 (two negatives become a positive) = 2+3=5
[tex]m= \frac{-3}{5}[/tex]
This fraction cannot be simplified further, so this is the slope.
The slope of the line is -3/5
