Question

Check Drag and drop the tiles with the coordinate points, so they match up with an equation that they satisfy y=-3x y = x - 10 (0,5) y = 13.X + 5 (0,0) (8,-2) (-2.-21) (-5.-15) (-3,9)

Answer 1

To determine wich coordinates points match up with the equations you have to replace said equations with the x-coordinate and see if the result is equal to the y-coordinate.

First point (0,0)

x=0 and y=0

1st equation

`y=13x+5`

Replace it with x=0

`\begin{gathered} y=13\cdot0+5 \\ y=5 \end{gathered}`

This point doesn't match up with this equation.

2nd equation

`y=-3x`

Replace with x=0

`\begin{gathered} y=-3\cdot0 \\ y=0 \end{gathered}`

This point matches up with the equation.

3rd equation

`y=x-10`

Replace with x=0

`\begin{gathered} y=0-10 \\ y=-10 \end{gathered}`

This point doesn't match up with this equation.

Result, the point (0,0), called origin, matches up with the equation in the second column.

Second point (8,-2)

x=8 y=-2

First equation

`y=13x+5`

Replace with x=8

`\begin{gathered} y=13\cdot8+5 \\ y=109 \end{gathered}`

This point doesn't match up with this equation.

Second equation

`y=-3x`

Replace with x=8

`\begin{gathered} y=-3\cdot8 \\ y=-24 \end{gathered}`

This point doesn't match up with this equation.

Third equation

`y=x-10`

Replace with x=8

`\begin{gathered} y=8-10 \\ y=-2 \end{gathered}`

This point matches up with the equation.

Result, the point (8,-2), matches up with the equation in the third column.