Answer:
Step-by-step explanation:
The slope of the line needs to be determined first:
[tex]m=\frac{-9+-5}{-12+-8}=\frac{-14}{-20}=\frac{7}{10}[/tex]
Now let's use that and one of the coordinates to write an equation in point-slope form:
[tex]y-5=\frac{7}{10}(x-8)[/tex]
and, simplifying,
[tex]y-5=\frac{7}{10}x-\frac{56}{10}[/tex]
Now let's multiply everything by 10 to get rid of the fractions:
10y - 50 = 7x - 56
and
-7x + 10 y = -6
Apparently, they do not like to lead with negatives, which is not uncommon:
7x - 10y = 6
So his model is not correct.
