Question

Use point-slope form to write the equation of a line that passes through the point(-6,3) with slope – 2.

Answer 1

In the question, we are asked to find the equation of a line that passes through the point (-6,3) with slope – 2.

Step-by-step explanation

Using the point-slope formula, we will have

`\begin{gathered} y-y_1=m(x-x_1) \\ \end{gathered}`

y=y coordinate of the second point

y_{1}=y coordinate of point one

m=slope

x=x coordinate of the second point

x_{1}=x coordinate of point one

Therefore,

`\begin{gathered} y-3=2(x-(-6)) \\ y-3=2(x+6) \end{gathered}`

ANSWER

`y-3=2(x+6)`