The equation of a line that passes through two points (x1,y1) and (x2,y2) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Pluggging the values given we have:
[tex]\begin{gathered} y-(-4)=\frac{0-(-4)}{-2-(-3)}(x-(-3)) \\ y+4=\frac{0+4}{-2+3}(x+3) \\ y+4=\frac{4}{1}(x+3) \\ y+4=4(x+3) \\ y+4=4x+12 \\ y=4x+12-4 \\ y=4x+8 \end{gathered}[/tex]
Therefore the equation of the line is:
[tex]y=4x+8[/tex]
