Answer:
x - y = 2 and x + 2y = -2
Step-by-step explanation:
Since you have the graph, you can easily see that the point of interest is nearest the intersection of the <em>orange</em> and <em>pink</em> lines.
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Recognizing that the intercepts of a line in standard form are ...
ax +by =c
x-intercept: c/a
y-intercept: c/b
You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:
- x -y = 2 ⇒ (0, -2) — orange
- x -2y = -2 ⇒ (0, 1) — blue
- x +y = 2 ⇒ (0, 2) — green
- x +2y = -2 ⇒ (0, -1) — pink
The system of equations with the desired solution is ...
x -y = 2 and x +2y = -2
