Graphs

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. 

$A=\left(-2,5\right); B=\left(1,3\right) ; C=\left(-1,0\right)$

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.

$A=\left(-2,5\right); B=\left(12,3\right) ; C=\left(10,-11\right)$

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. 

$A=\left(-5,3\right); B=\left(6,0\right) ; C=\left(5,5\right)$

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. 

$A=\left(-6,3\right); B=\left(3,-5\right) ; C=\left(-1,5\right)$

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. 

$A=\left(4,-3\right); B=\left(0,-3\right) ; C=\left(4,2\right)$

Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area. 

$A=\left(4,-3\right); B=\left(4,1\right) ; C=\left(2,1\right)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(3,-4); P_2=(5,4)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(-2,0); P_2=(2,4)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(2,-3); P_2=(10,3)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(4,-3); P_2=(6,1)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(-4,-3); P_2=(2,2)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(a,b); P_2=(0,0)$

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_1=(a,a); P_2=(0,0)$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: \mathrm{y}={\mathrm{x}}^4-\sqrt{\mathrm{x}} \\ \mathrm{Points}: (0,0); (1,1); (-1,0) \end{gathered}$$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: \mathrm{y}={\mathrm{x}}^3-2\sqrt{\mathrm{x}} \\ \mathrm{Points}: (0,0); (1,1); (1,-1) \end{gathered}$$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: {\mathrm{y}}^2={\mathrm{x}}^2+9 \\ \mathrm{Points}: (0,3); (3,0); (-3,0) \end{gathered}$$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: {\mathrm{y}}^3=\mathrm{x}+1 \\ \mathrm{Points}: (1,2); (0,1); (-1,0) \end{gathered}$$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: x^2+y^2=4 \\ \mathrm{Points}: (0,2); (-2,2); (\sqrt{2},\sqrt{2}) \end{gathered}$$

Tell whether the given points are on the graph of the equation.

$$\begin{gathered} \mathrm{Equation}: x^2+4y^2=4 \\ \mathrm{Points}: (0,1); (2,0); (2,\frac{1}{2}) \end{gathered}$$

The graph of an equation is given. List the intercepts of the graph.

The graph of an equation is given. List the intercepts of the graph. 

The graph of an equation is given. List the intercepts of the graph.

The graph of an equation is given. List the intercepts of the graph. 

The graph of an equation is given. List the intercepts of the graph. 

The graph of an equation is given. List the intercepts of the graph. 

The graph of an equation is given. List the intercepts of the graph. 

The graph of an equation is given. List the intercepts of the graph. 

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=x+2$

Graph each equation by hand by plotting points. Verify your results using a graphing utility.

$y=x-6$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=2x+8$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=3x-9$

Graph each equation by hand by plotting points. Verify your results using a graphing utility.

$y=x^2-1$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=x^2-9$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=-x^2+4$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$y=-x^2+1$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$2x+3y=6$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$5x+2y=10$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$9x^2+4y=36$

Graph each equation by hand by plotting points. Verify your results using a graphing utility. 

$4x^2+y=4$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window. 

$y=2x-13$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window. 

$y=-3x+14$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$y=2x^2-15$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$y=-3x^2+19$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$3x-2y=43$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$4x+5y=82$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$5x^2+3y=37$

In Problems 89–96, graph each equation using a graphing utility. Use a graphing utility to approximate the intercepts rounded to two decimal places. Use the TABLE feature to help to establish the viewing window.

$2x^2-3y=35$