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Dane Bernhard

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3y ago
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12y ago

The first equation translates to y = -x +10, so when y = 0, x = 10 and when x = 0, y = 10. Hence draw the x and y axes and mark the point (10, 0) and (0, 10). Draw a line connecting these two points. This is the first line. It is a line of the form

y = mx + c where m = -1 and c = 10, the line makes 135 degrees with the x axis.

The second equation translates to y = x - 6, so when y = 0, x = 6 and when x = 0, y = -6. Hence draw the x and y axes and mark the point (6, 0) and (0, -6). Draw a line connecting these two points. This is the second line. It is a line of the form

y = mx + c where m = 1 and c = -6, the line makes 45 degrees with the x axis.

Solving both equation we get x = 8 and y = 2, which means that the two line intersect at this point.

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Q: What type of lines match these equations x plus y equals 10 x-y equals 6?
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