Question

Write slope intercept form of the equationX -y = -7

Answer 1

We are given the following equation

`x-y=-7`

We are asked to write the above equation in slope-intercept form.

Recall that the slope-intercept form is given by

`y=mx+b`

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

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

Step 2:

Multiply both sides of the equation by -1 (so that y becomes positive)

`\begin{gathered} -y=-x-7 \\ -y\cdot-1=-1\cdot(-x-7) \\ y=x+7 \end{gathered}`

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

`y=x+7`