Given the equation of a line as shown below :
[tex]y=-3x-2[/tex]To determine the slope and the y - intercept of the line, compare the equation with straight line equation
[tex]y\text{ = mx+c}[/tex]After comparing the equation of a line
[tex]\begin{gathered} m\text{ = slope} \\ c\text{ = y-intercept} \end{gathered}[/tex][tex]\begin{gathered} y\text{ = -3x-2 } \\ y=mx+c \\ m\text{ = -3 } \\ c\text{ = -2} \end{gathered}[/tex]Therefore slope = -3 and y - intercept = -2