Is 7x - 10y = 3 a good model for a line that passes through (8,5) and (-12,-9)

no

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

(8,5) ... x1 = 8 and y1 = 5

(-12,-9) ... x2 = - 12 and y2 = - 9

now sub

slope (m) = (-9 - 5) / (-12 - 8) = - 14 / - 20 = 7/10

y = mx + b

slope (m) = 7/10

(8,5) ... x = 8 and y = 5

sub and find b, the y int

5 = 7/10 (8) + b

5 = 56/10 + b

5 - 56/10 = b

50/10 - 56/10 = b

-6/10 = b

- 3/5 = b

ur equation is : y = 7/10x - 3/5 ... gonna put it in standard form now

y = 7/10x - 3/5 ... multiply everything by LCD of 10

10y = 7x - 6

-7x + 10y = - 6

7x - 10y = 6

NO ... 7x - 10y = 3 IS NOT a good model ... should be 7x - 10y = 6