Question

Write an equation of the line that has each pair of intercepts:

X-intercept:-3, Y-intercept:6 How do I do this?

Answer 1

`x-intercept:-3 = \ (-3,0)\\\\ y-intercept:6= \ (0,6)\\ \\First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \\ \\ m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \\ \\m=(6-0)/(0+3) = (6)/(3)=2 \\ \\ Use \ point \ form \ of \ a \ line\ with \ one \ point: \\ \\ y-y_(1) =m(x-x _(1)) \\\\y-0 = 2(x-(-3))\\\\y=2(x+3)\\\\y=2x+6`