Question 1

Writing linear equations (2,-2) and (0,-1)

Question 2

$\begin{gathered} P1(2,-2) \\ P2(0,1) \\ y=mx+b \\ m=(y2-y1)/(x2-x1) \\ m=(1-(-2))/(0-2)=(1+2)/(-2)=(-3)/(2) \\ y=-(3)/(2)x+b \\ P2(0,1) \\ 1=(-3)/(2)(0)+b \\ 1=0+b \\ b=1 \\ y=-(3)/(2)x+1 \\ \text{The linear equation is }y=-(3)/(2)x+1 \\ \\ 6. \\ P1(1,3) \\ P2(-3,-5) \\ m=(-5-3)/(-3-1)=(-8)/(-4)=2 \\ y=2x+b \\ U\sin g\text{ point 1} \\ 3=2(1)+b \\ 3=2+b \\ 3-2=b \\ b=1 \\ y=2x+1 \\ \text{The linear equation is }y=2x+1 \\ \\ 8. \\ P1(3,3) \\ P2(1,-3) \\ m=(-3-3)/(1-3)=(-6)/(-2)=3 \\ y=3x+b \\ U\sin g\text{ point 1} \\ 3=3(3)+b \\ 3=9+b \\ 3-9=b \\ b=-6 \\ y=3x-6 \\ \text{The linear equation is }y=3x-6 \\ \\ 10. \\ P1(-1,4) \\ P2(0,-1) \\ m=(-1-4)/(0-(-1))=(-5)/(1)=-5 \\ y=-5x+b \\ U\sin g\text{ point 2} \\ -1=-5(0)+b \\ -1=0+b \\ b=-1 \\ y=-5x-1 \\ \text{The linear equation is }y=-5x-1 \end{gathered}$

Writing linear equations (2,-2) and (0,-1)-example-1

Writing linear equations (2,-2) and (0,-1)-example-2

Writing linear equations (2,-2) and (0,-1)-example-3

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