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How do I solve these please help me

How do I solve these please help me-example-1

1 Answer

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All the lines have a slope of -1, and clearly don't intercept due to different y-intercepts, so the lines are parallel.

How to find the slopes?

If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

a = (y₂ - y₁)/(x₂ - x₁)

So let's use that for each line.

A) this line passes through (-2, 0) and (0, -2), the slope is:

a = (-2 - 0)/(0 + 2) = -2/2 = -1

B) this line passes through (-4, 0) and (0, -4) so:

a = (-4 - 0)/(0 + 4) = -1

C) finall, this line passes through (-3, -5) and (-5, -3), then:

a = (-3 + 5)/(-5 + 3) = -1

So the 3 lines have the same slope (and clearly different y-intercepts) so the 3 lines are parallel.

User Robert E
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