Module 4 topic 3 notes
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The document discusses different forms for writing linear equations based on available information. It explains that the slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. It also covers point-slope form, which is used when given a point and slope, as y - y1=m(x-x1). Finally, it discusses finding the slope from two points as m=(y2-y1)/(x2-x1) when the slope is unknown.
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Module 4 topic 3 notes
- 1. Module 4 Topic 3Writing Linear Equations
- 2. The equation for slope-intercept form ism is the slopeslope measures the steepness of the linem=-4/2=-2b is the y-interceptb is where the line crosses the y-axis.Writing Linear Equations2-4
- 3. Write the equation of the line that has a slope of -4 and y-intercept of 5.Writing Linear Equations
- 4. Writing Linear EquationsWe use Point-Slope form, when we are given: a point and a slope!
- 5. Point Slope FormWrite the equation of the line that passes through (-3,5) and has a slope of 2.What are we given? We are given the slope is 2!AND…we are given a point (-3,5).Final Answer
- 6. Point Slope FormWrite the equation of the line that passes through (-3,5) and (-1,9) .Can we find the slope? Do we have enough info?What are we given? We are given 2 points, but no slope! Yes, we can use…
- 7. Point Slope FormWrite the equation of the line that passes through (-3,5) and (-1,9) .Now that we know that the slope is 2, we can use either point to find the equation of the line.
- 8. Writing Linear FunctionsSummaryWhen given the slope and y-intercept: y=mx+b.When given 1 point and the slope, do point slope: y – y1=m(x-x1).When given 2 points, and no slope, one must find the slope(m=y2-y1over x2-x1), then use either point for the point slope form.Now proceed to Mastery Assignments!