Question

Find the equation of a line that has a slope of 1 and contains the points (-7,-11) in slope-intercept form.

Answer 1

To determine the equation of a line that passes through (x₁,y₁) with slope m, you can use the following formula:

`y-y_1=m(x-x_1).`

Substituting:

`\begin{gathered} m=1, \\ (x_1,y_1)=(-7,-11) \end{gathered}`

in the above formula, you get:

`y-(-11)=1(x-(-7)).`

Simplifying the above result, and taking it to its slope-intercept form you get:

`\begin{gathered} y+11=x+7, \\ y=x+7-11, \\ y=x-4. \end{gathered}`

Answer:

`y=x-4.`