To identify the slope and y-intercep of a line, you need to write the equation in slope intercpet form:
[tex]y=mx+b[/tex]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:
[tex]\begin{gathered} 7x-7x+2y=-7x-28 \\ -2y=7x-28 \end{gathered}[/tex]-Divide both sides of the equation into 2:
[tex]\begin{gathered} \frac{2}{2}y=-\frac{7}{2}x-\frac{28}{2} \\ \\ y=-\frac{7}{2}x-14 \end{gathered}[/tex]The slope is: -7/2The y-intercept is: -14