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Write an equation of the line that has each pair of intercepts:
X-intercept:-3, Y-intercept:6 How do I do this?


Sagot :

[tex]x-intercept:-3 = \ (-3,0)\\\\ y-intercept:6= \ (0,6)\\ \\First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \\ \\ m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} } \\ \\m=\frac{6-0}{0+3} = \frac{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[/tex]