Question

What is the slope and y-intercept of the linear function given by the equation 7x+2y=-28

Answer 1

`7x+2y=-28`

To identify the slope and y-intercep of a line, you need to write the equation in slope intercpet form:

`y=mx+b`

m is the slope

b is the y-intercept (the value of y when the line cross the y-axis)

To write the equation in slope-intercept form, leave the variable y in one side of the equation.

-Substract 7x in both sides of the equation:

`\begin{gathered} 7x-7x+2y=-7x-28 \\ -2y=7x-28 \end{gathered}`

-Divide both sides of the equation into 2:

`\begin{gathered} (2)/(2)y=-(7)/(2)x-(28)/(2) \\ \\ y=-(7)/(2)x-14 \end{gathered}`The slope is: -7/2The y-intercept is: -14