Question

Find the slope of the equation.y= -(x+4)

Answer 1

Answer:

the slope of the equation is -1

Step-by-step explanation:

Given:

`\text{ y = -\lparen x + 4\rparen}`

To find:

the slope of the equation

To determine the slope, we will expand the parenthesis:

`\begin{gathered} y\text{ = -\lparen x\rparen - \lparen+4\rparen} \\ y\text{ = -x - 4} \end{gathered}`

Next, we will compare the equation above with the equation of a line:

`\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope } \\ b\text{ = y-intercept} \end{gathered}`
`\begin{gathered} y=\text{ y} \\ mx\text{ = -x} \\ m\text{ = -1} \\ b\text{ = -4} \end{gathered}`

Hence, the slope of the equation is -1