Question

Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A (0,3) to Point B (-3,0)

Answer 1

`m= (y2-y1)/(x2-x1)`


`m= (0-3)/(-3-0)`


`m= (-3)/(-3)`


`m=1`

Point Slope Form:
`(y-y1)=m(x-x1)`


`(y-3)=1(x-0)`


`(y-3)=(x-0)`


`(y-3)=(x)`

Answer 2

`A (0,3), \ \ B (-3,0) \\\\\\ First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \\ \\ m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \\ \\m=( 0-3)/(-3-0) = (-3)/(-3)=1 \\ \\ Use \ point \ form \ of \ a \ line\ with \ one \ point: \\ \\ y-y_(1) =m(x-x _(1)) \\ \\m=1,\ \ x_(1)=0, \ \ y_(1)=3 \\ \\ y-3= (x-0}\\\\y= x +3`