help
i was wrong ??? you posted the same question twice why?
no this is a different one
Ok look for this one you have to replace x and y in the equations suggested. (0,0) and (5,-2) do you know how?
no
You have to check if the equations are true or false by replacing x and y in the equations with their values from the coordinates given im writing with the equation editor so bare with me
Would we find the answer or equation using Point Slope Formula?
Lets check if A is right or wrong follow the steps for the rest suggestions given. \[y=-\frac{ 5 }{ 2 }x\] first we have (x,y) (0,0) \[0=-\frac{ 5 }{ 2 }(0)\] 0=0 \[-2=-\frac{ 5 }{ 2 }(5)\] -2\[-2\neq-12.5\] so A is wrong
lets move to B same steps
I'm going to solve the right one i cant write the same equation multiple time D \[y=-\frac{ 2 }{ 5 }x\] first we have (x,y) (0,0) \[0=-\frac{ 2 }{ 5 }(0)\] 0=0 \[-2=-\frac{ 2 }{ 5}(5)\] -2=-2 so D is the answer
why take every option when you just find the m directly \(A(0, \ 0) \ \ ---- \ \ A(X, \ Y)\) \(B(5, \ -2) \ --- \ \ B(X, \ Y)\) \(m_{AB}=\dfrac{Y_B-YA}{X_B-X_A} \ \ = \ \ \ \dfrac{-2-0}{5-0}=\dfrac{-2}{5} \)
\( y=mx+c \) where \(\boxed{c=0} \ \ \& \ \ \boxed{m=\dfrac{-2}{5}} \) therefore \( y=\dfrac{-2}{5}x+0 \) or simply \(\boxed{y=-\dfrac{2}{5}x} \)
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