Lydia Baik Period 1 <center><font size=7> 2.2.1. Slope Solutions</font></center> <br>

<font size=4><b>a. Find the slope of the line passing through (-6 , 2) and (0, 6).</b></font><br>
<b>y<sub>2</sub> - y<sub>1</sub> / x<sub>2</sub> - x<sub>1</sub></b><br>
Plug and chug!<br>
<b>= 6 - 2 / 0 -(-6)</b><br>
Simplify!<br>
<b>= 4 / 0+6</b><br>
Simplify!<br>
<b>= 4/6 = 2/3 = m</b><br>
The slope is 2/3.<br> <br>

<font size=4><b>b. Find the slope of the line passing through (1 , 7) and (-2, -3).</b></font><br>
<b>y<sub>2</sub> - y<sub>1</sub> / x<sub>2</sub> - x<sub>1</sub></b><br>
Plug and chug!<br>
<b>= -3 - 7 / -2 -1</b><br>
Simplify!<br>
<b>=-10 / -3</b><br>
Simplify!<br>
<b>=10/3</b><br>
The slope is 10/3.<br> <br>

<font size=4><b>c.</b> <img src="http://www.purplemath.com/modules/slope/slope01.gif"></img><b>Positive or Negative?<br></b></font><br>
The slope is <b>positive</b> because it rises from left to right and is great than 0. (m > 0)<br><br>

<font size=4><b>d. Without graphing tell whether the line through (1, 0), (-4, 6) has a positive or negative slope.</b></font><br>
First find the slope of the line.<br>
<b>y<sub>2</sub> - y<sub>1</sub> / x<sub>2</sub> - x<sub>1</sub></b><br>
Plug and chug!<br>
<b>= 6 - 0 / -4 - 1 </b><br>
Simplify!<br>
<b>= 6 / -5</b><br>
The slope is - 6/5<br>
<b>The line has a negative slope because -6/5 is less than 0 and if m<0 then the line has a negative slope.</b><br><br>

<font size=4><b>e. Are the these lines with slopes of m1 =1/3 and m2 =-1/3 perpendicular?</b></font><br>
<b> m<sub>1</sub>m<sub>2</sub>= -1</b><br>
Plug and Chug!<br>
<b>(1/3)( -1/3)</b><br>
Solve!<br>
<b>=-1/3</b><br>
Because m<sub>1</sub>m<sub>2</sub> does not equal -1, the lines are not perpendicular.<br><br>