Question

I want to write an equation for a line that passes through 2 of the data points collected. The points are (8,5) and (-12, -9). Is 7x - 10y = 3 a good model? Why?

Answer 1

No

Explanation:

Slope is
`(-9-5)/(-12-8)=(-14)/(-20)=(7)/(10)`

`y-y_1=m(x-x_1)\\y-5=(7)/(10)(x-8)\\y-5=(7)/(10)x-(28)/(5)\\10y-50=7x-56\\10y+6=7x\\6=7x-10y`

Therefore, 7x-10y=3 would not be a good model, but it's very close