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Sagot :
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
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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