Question

Find the equation of the line with Slope = 1 and passing through ( - 4, – 12). Write your equationin the form y = mx + b.y

Answer 1

`y=x-8`

Explanation:

We have that the equation in its slope and point form is the following:

`y-y_1=m\cdot(x-x_1)`

We replace and write the equation in its intercept slope form (y = mx + b), just like this:

`\begin{gathered} y-(-12)=1\cdot(x-(-4)) \\ y+12=x+4 \\ y=x+4-12 \\ y=x-8 \end{gathered}`

The equation is:

y = x - 8