Answer:
\(y-3=6(x-8)\)
Step-by-step explanation:
The point - slope equation is:
\(y-y_{0}=m(x-x_{0})\)
Where \(x_{0}\), and \(y_{0}\) is the given point \((x_{0}, y_{0})\)
in this case since we have the point \((8, 3)\) we found that
\(x_{0}=8\)
\(y_{0}=3\)
and since \(m=6\)
The point - slope equation will be like this:
⇒\(y-3=6(x-8)\)
That would be the equation for the line through that point ad with a slope of 6: \(y-3=6(x-8)\)
You can simplify the equation and clear for y:
\(y=6x-6*8+3\)
\(y=6x-48+3\)
\(y=6x-45\)
this would be the equation in the slope - intercept form.
