• Given the line 2Given the line 2xx – 3 – 3yy = 9 and the point = 9 and the point (4, –1), find lines through the point (4, –1), find lines through the point that arethat are

• (a) parallel to the given line and(a) parallel to the given line and

• (b) perpendicular to it.(b) perpendicular to it.

• solve "2solve "2xx – 3 – 3yy = 9" for " = 9" for "yy=", so that you can =", so that you can find the reference slope: find the reference slope:

• 22xx – 3 – 3yy = 9      –3 = 9      –3yy = –2 = –2xx + 9 + 9          y          y = ( = ( 2 2//33))xx – 3– 3

The reference slope from the reference line is The reference slope from the reference line is mm = = 22//33

• Previous answer: slope Previous answer: slope mm = = 22//33

• yy – (–1) = ( – (–1) = ( 2 2//3 3 )()(xx – 4) – 4)yy + 1 = ( + 1 = ( 2 2//3 3 ) ) xx – – 88//33yy = = (( 2 2//3 3 ) ) xx – – 88//33 – – 33//33yy = ( = ( 2 2//3 3 ) ) xx – – 1111//33

Step 3: perpendicular lineStep 3: perpendicular line

Resource SlideResource Slide

• http://www.purplemath.com/modules/strtlneq3.htm

• http://www.ixl.com/math/standards/california/algebra-1

• Butte County Regional Occupational Program. Butte County Regional Occupational Program. Career and Technical Education Online. Career and Technical Education Online. Chico, Calif.: Butte County Office of Education. http://www.cteonline.org (accessed Chico, Calif.: Butte County Office of Education. http://www.cteonline.org (accessed October 2004). October 2004).

• California State Board of Education. California State Board of Education. Content Standards. Content Standards. http://www.cde.ca.gov/be/st/ss/ index.asp http://www.cde.ca.gov/be/st/ss/ index.asp

• California State Board of Education. California State Board of Education. Curriculum Frameworks. Curriculum Frameworks. http://www.cde.ca.gov/be/st/fr/ index.asp http://www.cde.ca.gov/be/st/fr/ index.asp

• (5.0) Students solve multistep problems, including word (5.0) Students solve multistep problems, including word problems, involving linear equations and linear inequalities problems, involving linear equations and linear inequalities in one variable and provide justification for each step. in one variable and provide justification for each step.

• (6.0) Students graph a linear equation and compute the (6.0) Students graph a linear equation and compute the x- x- and and y-y-

• (8.0) Students understand the concepts of parallel lines and (8.0) Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. perpendicular lines and how those slopes are related. Students are able to find the equation of a line Students are able to find the equation of a line perpendicular to a given line that passes through a given perpendicular to a given line that passes through a given point. point.

• (10.0) Students add, subtract, multiply, and divide (10.0) Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep monomials and polynomials. Students solve multistep problems, including word problems, by using these problems, including word problems, by using these techniques. techniques.