Algebra: Chapter 6, Lesson 9, page 291.
Using Equations that Factor
There are 3 steps to using the problem solving guidelines below to help solve problems involving writing and solving an equation. They are:
1. Understand the problem
- What am I trying to find out
- What data am I given
- Have I ever solved a similar problem?
2. Develop and carry out a PLAN
- What strategy might I use to solve the problem?
- How can I correctly carry out the strategy I selected?
3. Find the ANSWER and CHECK
- Does the proposed solution check?
- What is the answer to the problem?
- Does the answer seem reasonable?
- Have I stated the answer clearly?
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra: Chapter 7, Lesson 8, page 338, day #2.
Parallel and Perpendicular Lines
Parallel lines by definition have the same slope. So, for the equation of 2 lines, all we have to do is figure out what the slope is of them both. If they have the same slope, then they are parallel. Check too, however, to make sure that both lines have DIFFERENT y-intercepts. If they have the same slope and y-intercept, then they are the same line, one on top of the other.
Perpendicular lines are lines that intersect at 90° or are at right angles to each other. By definition, the slopes of 2 lines that are perpendicular, when multiplied together, have a resultant product of −1.
Remember, the slope-intercept formula to find the slope, `m`: `y = mx + b`
You MAY have to solve the equation lines for `y`, isolating it to see what the slope, `m`, is as well as the y-intercept, `b`.
Here is a link from purplemath too with more explanation and examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!