Graph the ordered pairs \((3,4)\), \((3,-4)\), \((-3,4)\), and \((-3,-4)\). Also, identify which quadrant each point lies in.

Graph the ordered pairs \((-1,3)\), \((2,5)\), \((0,0)\), \((0,-3)\), and \((4,0)\). State which quadrant each point lies in.

Mini Lecture
Graph each ordered pair.

1. \((3,2)\)

2. \((-3,2)\)

3. \((3,-2)\)

4. \((-3,-2)\)

5. \((-1,5)\)

6. \((0,0)\)

7. \((3,0)\)

8. \((0,5)\)

Mini Lecture
Graph each equation.

1. \(x+y=3\)

2. \(y=-\displaystyle\frac{2}{3}x+1\)

3. \(-2x+y=1\)

4. \(x+-2\)

5. \(y=2\)

Mini Lecture
Fill in the ordered pairs.

1. \(2x+y=6 \quad (0,\quad), (\quad,3), (\quad,-6)\)

2. \(x=-5 \quad (\quad,-3), (\quad,-6)\)

3. \(y=3x \quad (1,\quad), (-3,\quad), (\quad, 0)\)

4. Which are solutions to \(y=6x\)? \((1,6), (-2,12), (0,0)\)

What is the \(y\)-intercept of \(y=\dfrac{1}{2}x-5\)?

What is the \(y\)-intercept of \(y=2x+\dfrac{1}{3}\)?

What is the \(y\)-intercept of \(y=6\)?

What is the \(y\)-intercept of \(y=4-x\)?

Mini lecture
Graph.

1. \(5x+2y=10\)

2. \(y=\displaystyle\frac{1}{2}x+3\)

3. \(y=-2x\)

Find the slope of the line shown in Figure 6.

Graph the line with slope \(-\dfrac{3}{2}\) and passing through the point \((1,1)\).

The graph in Figure 4 shows the rise in U.S. Retail Ecommerce sales over a five-year period, which is approximately linear. Use the graph to find the slope of the line, and then interpret the slope as a rate of change.

Determine if the lines passing through the given pairs of points are parallel, perpendicular, or neither:
\((-1, -5)\) and \((2, 1)\),
\((-2, 2)\) and \((6, -2)\),

Mini Lecture

1. Find the slope between \((-3,-2)\) and \((1,3)\).

2. Graph the line with the slope \(\displaystyle\frac{3}{2}\) and \(y\)-intercept \(-3\).

Find the slope and \(y\)-intercept of the line \(y=\dfrac{3}{2}x+1\).

Find the equation of the line passing through the point \((2,5)\) and perpendicular to the line \(3x+4y=12\). Write the answer in slope-intercept form.

Find the equation of the horizontal line passing through the point \((-3,-1)\).

Mini Lecture

1. Find the equation of the line with \(m=\displaystyle\frac{3}{2}\) and \(b=-1\).

2. Find the slope and \(y\)-intercept of \(4x-5y=20\).

3. Find the equation of the line through \((-2,-5)\) with slope \(m=2\).

Find the equation of the line passing through \((4,-5)\) with

1. zero slope

2. no slope

Find the equation of the line passing through the point \((-3,-2)\) and parallel to the line \(3x-5y=10\). Write the answer in standard form.

Graph the inequality \(2x+3y\leq 0\)

Mini Lecture
Graph.

1. \(2x-3y<6\)

2. \(y\geq x-5\)

3. \(y<2\)