Answer:
Part 1) [tex]y+6=\frac{2}{5}(x+2)[/tex]
Part 2) [tex]y+6=\frac{5}{2}(x+2)[/tex]
Step-by-step explanation:
The equation of the line in point slope form is
[tex]y-y1=m(x-x1)[/tex]
we're going to analyze two cases
First case
[tex]Point\ (-2,-6)[/tex]
[tex]slope\ m=\frac{2}{5}[/tex]
substitute
[tex]y+6=\frac{2}{5}(x+2)[/tex]
therefore
y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis
Second case
[tex]Point\ (-2,-6)[/tex]
[tex]slope\ m=\frac{5}{2}[/tex]
substitute
[tex]y+6=\frac{5}{2}(x+2)[/tex]
therefore
y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis
