Here's what's on the quiz, and where you can look in your notes/slides to study:
- Given two points, write an equation in all 3 forms.
- Look at your middle left slide where it gives you two points (3,-1) and (5,6); write the equations in all 3 forms.
- Here are the answers if you try this:
- Slope Intercept Form: y = 3.5x - 11.5
- Point Slope Form: y + 1 = 3.5(x -3) OR y - 6 = 3.5(x - 5)
- Standard Form: 3.5x - y = 11.5 OR y - 3.5x = -11.5
- Note: You may use 7/2 instead of 3.5 or -23/2 insead of -11.5
- Or, look at the last slide--we went over this in yesterday's notes!
- Determine if two lines are parallel, perpendicular, or neither (given two equations).
- For each equation, first solve for y to identify the slope
- Then, compare the slopes to see if the lines are parallel (same slope), perpendicular (slopes are opposite signs and reciprocals), or neither!
- Graph a line given in point slope form and given slope intercept form
- Look at a and f from today's stamp problem
- Write the equation of a line through a point and parallel/perpendicular to a given line.
- Look at the slide on the bottom right of the first page or the top two slides on the second page.
- First, solve the given equation for y and identify the slope.
- Next, determine the slope of the parallel/perpendicular line.
- Now, use this "new" slope and the given point to write an equation!
- Write the equation of a line passing through two points (in any form).
- Look back at the first bullet of this list
Don't forget, you also have your textbook as a resource! Look at the examples in section 1.1 to see more problems--first, try them on your own, and then look at the worked out solution to see how you did!
- Page 5, example 2
- Page 7, example 4
- Page 9, example 6
- Page 10, example 7
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