Algebra: Chapter 7, Lesson 3, page 313.
Linear Equations and their Graphs
Linear equation have to have variables with a power of 1, NO mixed variable products and NO variables in an equation in the denominator. The easiest way to plot or graph an equation is to use the x-intercept and y-intercept.
- The x-intercept of a line is the x-coordinate of the point where the line intercepts the x-axis. To do this, all we have to do is set `y=0` and solve for `x`.
- The y-intercept of a line is the y-coordinate of the point where the line intercepts the y-axis. To do this, set `x=0` and solve for `y`
The standard form of a linear equation in 2 variables is `Ax + By = C`, where A, B and C are constants.
For horizontal lines, the graph of `y = b` is the x-axis or a line parallel to the x-axis with y-intercept, `b`.
For vertical lines. the graph of `x = a` is the y-axis or a line parallel to the y-axis with x-intercept, `a`.
Two of tonight’s homework problems solved by MrE are here! Just click it.
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Algebra 1a: Chapter 2 Review
Skills Practice 5 and 6 sheets, pages 13 and 14, make sure you got it all down!
- Distribute (push all the way through!)
- Factor
- Combine Like Terms
- Add/Subtract/Multiply/Divide with ± numbers