IM 8.2.11 Practice: Writing Equations for Lines

For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points using this applet and drawing the line through them.
[math](1,1)[/math] and [math](7,5)[/math]
[math](1,1)[/math] and [math](5,7)[/math]
[math](2,5)[/math] and [math](-1,2)[/math]
[math](2,5)[/math] and [math](-7,-4)[/math]
[size=150]Line [math]\ell[/math] is shown in the coordinate plane.[/size][br][br][img]data:image/png;base64,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[/img][br][br]What are the coordinates of points [math]B[/math]?
What are the coordinates of point [math]D[/math]?
Is the point [math](16,20)[/math] on line [math]\ell[/math]?
Explain how you know.
Is the point [math](20,24)[/math] on line [math]\ell[/math]?
Explain how you know.
Is the point [math](80,100)[/math] on line[math]\ell[/math]?
Explain how you know.
Write a rule that would allow you to test whether [math](x,y)[/math] is on line [math]\ell[/math].
Consider the graphed line.
Mai uses Triangle A and says the slope of this line is [math]\frac{6}{4}[/math]. Elena uses Triangle B and says no, the slope of this line is 1.5. Do you agree with either of them?
Explain.
A rectangle has length 6 and height 4.
Which of these would tell you that quadrilateral [math]ABCD[/math] is definitely [i]not[/i] similar to this rectangle? Select [b]all [/b]that apply.
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Information: IM 8.2.11 Practice: Writing Equations for Lines