Illustrative Mathematics - Geometry - Unit 6 - Lesson 13

Select all equations for which the point (2,-3) is on the graph of the equation.

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• {"blocks":[{"key":"0","text":"4x+y=5","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":6,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"y=5x-13","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"x^{2}+y^{2}=13","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":14,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x-2)^{2}+(y-(-3))^{2}=25","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":25,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

A.REI.7

G.GPE.5

G.GPE.1

The image shows a graph of the parabola with focus (3,4) and directrix y=2, and the line given by y=4.  Find and verify the points where the parabola and the line intersect.

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A.REI.7

G.GPE.5

G.GPE.1

Here is a line l. Write equations for and graph 4 different lines perpendicular to  l.

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A.REI.7

G.GPE.5

G.GPE.1

Write an equation whose graph is a line perpendicular to the graph of y=4 and which passes through the point (2,5).

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A.REI.7

G.GPE.5

G.GPE.1

Select all lines that are perpendicular to y-4=-\frac{2}{3}(x+1).

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• {"blocks":[{"key":"0","text":"3x-2y=2","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":7,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"3x+2y=10","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":8,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"y-2=-\\frac{2}{3}(x-1)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":21,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"63rts","text":"y=\\frac{3}{2}x","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":14,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

Tags

A.REI.7

G.GPE.5

G.GPE.1

Explain how you could tell whether x^{2}+bx+c is a perfect square trinomial.

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Tags

A.REI.7

G.GPE.5

G.GPE.1