the slope of the equation is -1
Explanation:Given:
[tex]\text{ y = -\lparen x + 4\rparen}[/tex]To find:
the slope of the equation
To determine the slope, we will expand the parenthesis:
[tex]\begin{gathered} y\text{ = -\lparen x\rparen - \lparen+4\rparen} \\ y\text{ = -x - 4} \end{gathered}[/tex]Next, we will compare the equation above with the equation of a line:
[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope } \\ b\text{ = y-intercept} \end{gathered}[/tex][tex]\begin{gathered} y=\text{ y} \\ mx\text{ = -x} \\ m\text{ = -1} \\ b\text{ = -4} \end{gathered}[/tex]Hence, the slope of the equation is -1
