Question

Standard form! help!


(5,4)(-8,10)
Only use integer coefficients. Write the standard form of the equation of the line these points go through.

Answer 1

-6/13

Answer 2

help?

Answer 3

Yes, that's your slope: \(\Large m=-\frac{6}{13} \)

So the equation in point-slope form is: \(\Large y-4=-\frac{6}{13}(x-5) \)
Clearing the fraction you can multiply by 13: \(\Large 13y-13\cdot4=-6(x-5) \)
\(\Large 13y-52=-6x+30 \)

So getting this in standard form Ax + By = C,
\(\Large \color {red}{6x}+13y-52\color {blue}{+52}=-6x\color {red}{+6x}+30\color {blue}{+52} \)

\(\Large 6x+13y=82 \)