Explanation
iven the points (-1,-4) and t(3,2). The points slope form of the equation can be found using the formula
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ where\text{ x}_1,y_1=-1,-4 \\ x_2,y_2=3,2 \end{gathered}[/tex]
We would then substitute the value into the formula;
[tex]\begin{gathered} y-(-4)=\frac{2-(-4)}{3-(-1)}(x-(-1)) \\ y+4=\frac{6}{4}(x+1) \\ y+4=\frac{3}{2}(x+1) \end{gathered}[/tex]
Answer: Option 3
