Question

Please help correct answer wins crowns

Answer 1

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      $\sf x + 2y = 7$

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

$\sf \implies y = \dfrac12(7-x)$

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

$\sf x=-2\implies y = \dfrac12(7-(-2))=4.5$

$\sf x=-1\implies y = \dfrac12(7-(-1))=4$

$\sf x=0\implies y = \dfrac12(7-0)=3.5$

$\sf x=1\implies y = \dfrac12(7-1)=3$

$\sf x=2\implies y = \dfrac12(7-2)=2.5$

$\sf x=3\implies y = \dfrac12(7-3)=2$

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.