Respuesta :
Step 1: Write out the equation
[tex]y=6x-1[/tex]Step 2: Substitute the ordered pair (3, 17) into the equation to check if it's a solution
[tex]\begin{gathered} \text{ At the point (3, 17)} \\ x=3,y=17 \end{gathered}[/tex]Substituting them into the equation, we have
[tex]6(3)-1=18-1=17[/tex]Hence, (3, 17) is a solution to the equation
Step 3: Substitute the ordered pair (-2, -13) into the equation to check if it's a solution
[tex]\begin{gathered} \text{ At the point (-2, -13)} \\ x=-2,y=-13 \end{gathered}[/tex]Substituting them into the equation, we have
[tex]6(-2)-1=-12-1=-13[/tex]Hence, (-2, -13) is a solution to the equation
Step 4: Substitute the ordered pair (1, 7) into the equation to check if it's a solution
[tex]\begin{gathered} \text{ At the point (1, 7)} \\ x=1,y=7 \end{gathered}[/tex]Substituting them into the equation, we have
[tex]6(1)-1=6-1=5\ne7[/tex]Hence, (1, 7) is not a solution to the equation
Step 3: Substitute the ordered pair (2, -13) into the equation to check if it's a solution
[tex]\begin{gathered} \text{ At the point (2, -13)} \\ x=2,y=-13 \end{gathered}[/tex]Substituting them into the equation, we have
[tex]6(-2)-1=-12-1=-13[/tex]Hence, (-2, -13) is a solution to the equation
