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consider the following. \\(a(6, 6)\\) \\(b(-7, 0)\\) \\(c(0, 3)\\) step…

Question

consider the following.

\\(a(6, 6)\\)
\\(b(-7, 0)\\)
\\(c(0, 3)\\)

step 1 of 2: plot the given points on the graph.

Explanation:

Identify the coordinates of the points

Using the Coordinate Graphing and Plotting Points knowledge points

$$ LATEXBLOCK0 $$

Plot point A

Using the Plotting Points knowledge point

$$ LATEXBLOCK1 $$

Plot point B

Using the Plotting Points knowledge point

$$ LATEXBLOCK2 $$

Plot point C

Using the Plotting Points knowledge point

$$ LATEXBLOCK3 $$

Answer:

To plot the given points on the Cartesian coordinate plane:

  • Point A \((6, 6)\): Start at the origin \((0,0)\), move \(6\) units to the right along the \(x\)-axis, and then move \(6\) units up parallel to the \(y\)-axis.
  • Point B \((-7, 0)\): Start at the origin \((0,0)\), move \(7\) units to the left along the \(x\)-axis, and remain on the \(x\)-axis since the \(y\)-coordinate is \(0\).
  • Point C \((0, 3)\): Start at the origin \((0,0)\), remain on the \(y\)-axis since the \(x\)-coordinate is \(0\), and move \(3\) units up along the \(y\)-axis.