Question

Jayla says that the equation y=2x-3 matched the graph. Substitute the ordered pairs from part c into the equation to prove that jayla is correct. (3,3)(4,5)(5,7)

Answer 1

Given:

Jayla says that the equation
`y=2x-3` matched the graph.

To prove:

Jayla is correct

Solution:

We have,

`y=2x-3` ...(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).

`3=2(3)-3`

`3=6-3`

`3=3`

`LHS=RHS`

So, point (3,3) lies on the line
`y=2x-3`.

For point (4,5), put x=4 and y=5 in (i).

`5=2(4)-3`

`5=8-3`

`5=5`

`LHS=RHS`

So, point (4,5) lies on the line
`y=2x-3`.

For point (5,7), put x=5 and y=7 in (i).

`7=2(5)-3`

`7=10-3`

`7=7`

`LHS=RHS`

So, point (5,7) lies on the line
`y=2x-3`.

All three point (3,3), (4,5), (5,7) satisfy the given equation.

Therefore, jayla is correct. Hence proved.