Brainlyuser707
Answered

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Does it matter which coordinate is (x1,y1) and (x2,y2) or can I just choose which coordinate I want it to be?​

Does It Matter Which Coordinate Is X1y1 And X2y2 Or Can I Just Choose Which Coordinate I Want It To Be class=

Sagot :

4599307156

Answer:

Technically not on a graph but on a table yes it matter but here if I were you I would do (2,2) and (-1,-4)

Step-by-step explanation:   y=mx+b

(2,2) and (-1,-4)                  2=2(2)+b                     Answer is: y=2x+(-2)

x1 y1         x2 y2                2=4+b

-4-2=-6                           -2=b

-1-2=-3                    y-intercept

m=2

slope                        

semsee45

Answer:

No, it doesn't matter which coordinate you assign [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Step-by-step explanation:

Proof

[tex]\textsf{let}\:(x_1,y_1)=(-1,-4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,2)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-4)}{2-(-1)}=2[/tex]

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-(-4) &=2(x-(-1)\\y&=2x-2\end{aligned}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(2,2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,-4)[/tex]

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{-1-2}=2[/tex]

[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-2 &=2(x-2)\\y&=2x-2\end{aligned}[/tex]

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