The graph of a linear equation in two variables is a straight line, which is the reason that this form of equation is called linear.
This module covers elementary graphing, the slope of graphs of linear equations, and the graphing of inequalities as well as equalities.
Graphs enable us to visualize these equations. By the time you are finished you should be able to look at a linear equation or inequality and picture its graph in your mind.
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8.1 Plotting Points |
- Determine ordered pair solutions to linear equations.
- Plot ordered pair solutions to linear equations.
- Make a table of values for ordered pair solutions of a linear equation. |
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8.2 Forms of Linear Equations & Intercepts |
- Understand the concepts of slope, intercepts
- Recognize linear equations expressed in point-slope and standard form
- Know the definition of vertical and horizontal lines
- Determine the slope of a line given its graph or its equation in slope-intercept or standard form.
- Determine the x and y-intercepts of a line from its graph and from its equation.
- Graph a line given its slope and y-intercept. |
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8.3 Slope |
- Determine the slope of a line using the formula for slope.
- Determine if lines are parallel, perpendicular, or neither, when given their slopes and/or intercepts.
- Predict the effect of slopes and intercepts on parallel and perpendicular lines.
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8.4 Graphing Linear Equations & Inequalities |
- Use the slope-intercept form to identify slope, intercept, and graph the line.
- Graph a line given its equation in point-slope form.
- Graph linear inequalities. |
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8.5 Additional Assignments |
| - Use slope to interpret rate of change problems. |
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