Matt Lee at 21:13, 28 April 2015

2015-04-28T21:13:32Z

Matt Lee at 23:00, 6 April 2015

2015-04-06T23:00:46Z

Matt Lee: Created page with "'''Question: ''' a) Find the equation of the line passing through (3, -2) and (5, 6).
..."

2015-03-29T18:01:59Z

Created page with "'''Question: ''' a) Find the equation of the line passing through (3, -2) and (5, 6).<br> ..."

New page

'''Question: ''' a) Find the equation of the line passing through (3, -2) and (5, 6).<br>
                   
b) Find the slope of any line perpendicular to your answer from a)

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
!Foundations
|-
|1) We have two points on a line. How do we find the slope?
|-
|2) How do you write the equation of a line, given a point on the line and the slope?
|-
|3) For part b) how are the slope of a line and the slope of all perpendicular lines related?
|-
|Answer:
|-
|1) The formula for the slope of a line through two points <math> (x_1, y_1)</math> and <math> (x_2, y_2)</math> is <math> \frac{y_2 - y_1}{x_2 - x_1}</math>.
|-
|2) The point-slope form of a line is <math> y - y_1 = m (x - x_1)</math> where the slope of the line is m, and <math>(x_1, y_1)</math> is a point on the line.
|-
|3) If m is the slope of a line. The slope of all perpendicular lines is <math> \frac{-1}{m}</math>
|}

Solution:

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
|Since the slope of a line passing through two points is <math> \frac{y_2 - y_1}{x_2 - x_1} </math>, the slope of the line is <math> \frac{6 - (-2)}{5 - 3} = \frac{8}{2} = 4 </math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer part a):
|-
|Now that we have the slope of the line and a point on the line the equation for the line is <math> y - 6 = 4(x - 5)</math>. Another answer is <math> y + 2 = 4(x - 3)</math>. These answers are the same. They just look different.
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer part b):
|-
|Since the slope of the line in part a) is 4, the slope of any line perpendicular to the answer in a) is <math> \frac{-1}{4}</math>
|}

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 '''Question: '''  a) Find the equation of the line passing through (3, -2) and (5, 6).<br>
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+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 b) Find the slope of any line perpendicular to your answer from a)

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	\|Since the slope of the line in part a) is 4, the slope of any line perpendicular to the answer in a) is <math> \frac{-1}{4}</math>		\|Since the slope of the line in part a) is 4, the slope of any line perpendicular to the answer in a) is <math> \frac{-1}{4}</math>
	\|}		\|}
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		+	[[8AF11Final\|<u>'''Return to Sample Exam</u>''']]

8A F11 Q15 - Revision history

Matt Lee at 21:13, 28 April 2015

Matt Lee at 23:00, 6 April 2015

Matt Lee: Created page with "'''Question: ''' a) Find the equation of the line passing through (3, -2) and (5, 6). ..."

Matt Lee: Created page with "'''Question: ''' a) Find the equation of the line passing through (3, -2) and (5, 6).
..."