Points the lie on the graph 8·x + 2·y = 24 are;
Points; (-3, 24), (-2, 20), (-1, 16), (0, 12), (1, 8), (2, 4), (3, 0), (4, -4), (5, -8)
Reason;
The given equation is 8·x + 2·y = 24
The above equation can be rearranged to make y the subject as follows;
2·y = 24 - 8·x
y = 24/2 - 8·x/2 = 12 - 4·x
y = 12 - 4·x
From the above relationship between x and y, we get;
[tex]\begin{array}{lcr}\mathbf{x}&&\mathbf{y}\\-3&&24\\-2&&20\\-1&&16\\0&&12\\1&&8\\2&&4\\3&&0\\4&&-4\\5&&-8\end{array}\right][/tex]
Therefore, the points that lies on the graph 8·x + 2·y = 24, which is the same equation as y = 12 - 4·x are;
(-3, 24), (-2, 20), (-1, 16), (0, 12), (1, 8), (2, 4), (3, 0), (4, -4), (5, -8)
See more examples on points on graphs of linear equations here:
https://brainly.com/question/19056669
