Question

What is the equation of the line between `(6,-5)` and `(-3,8)`?

Answer 1

`y=-13/9x+33/9`

Explanation:

`B=(-3,8)" "A=(6,-5)" "C=(x,y))`
`B_x-A_x=-3-6=-9`
`B_y-A_y=8+5=13`
`tan alpha=-13/9`
`C_x-B_x=x+3`
`C_y-B_y=y-8`
`tan beta=(y-8)/(x+3)`
`alpha=beta`
`Tan alpha=tan beta`
`-13/9=(y-8)/(x+3)`
`-13x-39=9y-72`
`9y=-13x-39+72`
`9y=-13x-33`
`y=-13/9x+33/9`