91Ó°ÊÓ

The points \(A(-2,-3), B(-1,-3)\), and \(C(-2,1)\) are the vertices of a triangle. Plot these points, draw the triangle \(A B C\), then compute the area of the triangle \(A B C\).

Which of the given equations is a linear equation? $$y=x^{2}+5 x+1, y=5 x^{2}+1, y=\sqrt{5 x+1}, y=5 x+1$$

Plot the points \(A(-3,-3)\) and \(B(0,0)\) and find the straight-line distance between the two points. Hint: Create a right triangle, then use the Pythagorean Theorem.

Which of the given equations is a linear equation? $$y=x^{2}-2 x-2, y=-2 x^{2}-2, y=\sqrt{-2 x-2}, y=-2 x-2$$

Which of the given equations is a linear equation? $$y=x^{2}+5 x-8, y=5 x^{2}-8, y=\sqrt{5 x-8}, y=5 x-8$$

Plot the points \(A(-2,-3)\) and \(B(1,2)\) and find the straight-line distance between the two points. Hint: Create a right triangle, then use the Pythagorean Theorem.

Plot the points \(A(-2,-3)\) and \(B(0,0)\) and find the straight-line distance between the two points. Hint: Create a right triangle, then use the Pythagorean Theorem.

Which of the given equations is a linear equation? $$y=x^{2}+7 x-3, y=7 x^{2}-3, y=7 x-3, y=\sqrt{7 x-3}$$

Plot the points \(A(-3,-2)\) and \(B(2,2)\) and find the straight-line distance between the two points. Hint: Create a right triangle, then use the Pythagorean Theorem.

Which of the given equations is a linear equation? $$y=\sqrt{-4 x-3}, y=x^{2}-4 x-3, y=-4 x-3, y=-4 x^{2}-3$$