Algebra Lesson 3.5: Graphing Linear Equations Using Point-Slope Form

Practice Exercises:

Graph the following equations

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

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

3. \(y - 1 = -\frac{5}{2}(x+1)\)

Use the following graph to answer Exercises 4 and 5

4. Write the equation of the red line in point-slope form using the indicated point.

5. Write the equation of the blue line in point-slope form using the indicated point.

Algebra Lesson 3.4: Graphing Vertical and Horizontal Lines

Practice Exercises:

For each of the following equations, decide whether the graph is a vertical line, horizontal line, or neither

1. \(x = 2\)

2. \(y = x\)

3. \(y= 1\)

Graph each of the following equations

4. \(y=\frac{1}{2}\)

5. \(x = -3\)

Use the following graph two answer Exercises 6 and 7

6. What is the equation of the vertical red line?

7. What is the equation of the horizontal green line?

Review Exercise:

8. Which of the two lines in the graph above is the graph of a function? (Review the vertical line test for functions)

Algebra Lesson 3.3: Graphing using Slope-Intercept Form

Practice Exercises:

For each of the following equations, find the slope and the \(y\)-intercept. Then use these to graph the equation.

1. \(y = 4x -1\)

2. \(y = \frac{2}{3} + 3\)

3. \(y = x +4\)

Use the following graph to answer Exercises 4-6

4. Write the equation of the red line in slope-intercept form.

5. Write the equation of the blue line in slope-intercept form.

6. Write the equation of the green line in slope-intercept form.

Algebra Lesson 3.1: Graphing a Linear Equation by Plotting Points

Practice Exercises:

Graph the given equation of a line by finding the points on the line corresponding to the given \(x\) values, and then drawing the graph of the line through those two points.

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

Solutions video: