Question

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

Answer 1

Answer:

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