Respuesta :
We are given the following equation
[tex]x-y=-7[/tex]We are asked to write the above equation in slope-intercept form.
Recall that the slope-intercept form is given by
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
As you can see, we need to make the variable y the subject of the equation.
Step 1:
Subtract x from both sides of the equation
[tex]\begin{gathered} x-y=-7 \\ x-x-y=-x-7 \\ -y=-x-7 \end{gathered}[/tex]Step 2:
Multiply both sides of the equation by -1 (so that y becomes positive)
[tex]\begin{gathered} -y=-x-7 \\ -y\cdot-1=-1\cdot(-x-7) \\ y=x+7 \end{gathered}[/tex]As you can see, the equation has a slope of 1 and a y-intercept of 7.
Therefore, the equation in the slope-intercept form is
[tex]y=x+7[/tex]