Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
- x₁ = -3
- y₁ = 1
- x₂ = 1
- y₂ = -5
Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
