how do i solve this equation:

slope= 4, (-3,3)


Sagot :

[tex]slope= 4, \ \ (-3,3) \\ \\ To \ find \ our \ equation \ we \ will \ use \ the \ formula: \\ \\ y - y _{1} = m(x - x _{1})\\ \\wherem \ is \ the \ slope \ and \ (x _{1}, y _{1}) \ is \ the \ point \\ \\m=4, \ \ x_{1}= -3 , \ \ y_{1} = 3 \\ \\ y - 3 = 4(x - (-3))[/tex]

[tex]y -3= 4(x +3) \\ \\ y-3 =4x+12\\\\y=4x+12+3\\ \\ y =4x+15[/tex]



[tex]y=mx+b\ \ \ and\ \ \ m-slope\\\\ slope= 4\ \ \ \Rightarrow\ \ \ y=4x+b\\\\ point:\ (-3,3)\ \ \ \Rightarrow\ \ \ 3=4\cdot(-3)+b\ \ \ \ \Rightarrow\ \ \ b=3+12=15\\\\Ans.\ y=4x+15[/tex]