Question

Please help correct answer wins crowns

Answer 1

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

`\sf x + 2y = 7`

`\sf \implies 2y=7-x`

`\sf \implies y = \frac12(7-x)`

Now input the given x-values into the equation to determine the y-values:

`\sf x=-2\implies y = \frac12(7-(-2))=4.5`

`\sf x=-1\implies y = \frac12(7-(-1))=4`

`\sf x=0\implies y = \frac12(7-0)=3.5`

`\sf x=1\implies y = \frac12(7-1)=3`

`\sf x=2\implies y = \frac12(7-2)=2.5`

`\sf x=3\implies y = \frac12(7-3)=2`

As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.