Question 695888
Solve both for y
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-2x = 4 - y
y = 2x + 4
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8-2y=x
2y = -x + 8
y = {{{-1/2}}}x + 4
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The system is {{{highlight_green(independent)}}}, there is one solution/point of intersection.
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The slope 2 and {{{-1/2}}} are negative inverse/reciprocals, therefore, the lines are pependicular and will intersect at one point.
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Inconsistent systems are parallel lines, which have the same slope, and never intersect, therefore there is no solution/point of intersection.
Dependent systems have the same line, such that every point along the line is a solution.
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