Given:
Jayla says that the equation [tex]y=2x-3[/tex] matched the graph.
To prove:
Jayla is correct
Solution:
We have,
[tex]y=2x-3[/tex] ...(i)
The ordered pairs are (3,3), (4,5), (5,7).
We need to substitute the ordered pairs into the equation to prove that Jayla is correct.
For point (3,3), put x=3 and y=3 in (i).
[tex]3=2(3)-3[/tex]
[tex]3=6-3[/tex]
[tex]3=3[/tex]
[tex]LHS=RHS[/tex]
So, point (3,3) lies on the line [tex]y=2x-3[/tex].
For point (4,5), put x=4 and y=5 in (i).
[tex]5=2(4)-3[/tex]
[tex]5=8-3[/tex]
[tex]5=5[/tex]
[tex]LHS=RHS[/tex]
So, point (4,5) lies on the line [tex]y=2x-3[/tex].
For point (5,7), put x=5 and y=7 in (i).
[tex]7=2(5)-3[/tex]
[tex]7=10-3[/tex]
[tex]7=7[/tex]
[tex]LHS=RHS[/tex]
So, point (5,7) lies on the line [tex]y=2x-3[/tex].
All three point (3,3), (4,5), (5,7) satisfy the given equation.
Therefore, jayla is correct. Hence proved.