Intro to Linear functions and equations

We are starting a new unit involving many important objectives based around linear equations and functions. You will learn how to find the slope of a line, use slope-intercept form, find the equation of a line, graph linear and quadratic functions, and how to use direct and inverse variation to solve problems.But for today, we are going to focus on using two variables in equations. First, click on this link:http://home.sprynet.com/~smyrl/EQ6.HTM Notice, they mention "explicit form," this is what we will refer to as slope-intercept form.





1.Next, read over pages 349 and 350 in your textbook. Then you can try a couple problems and post this on your blog. Do this by writing the equation for y in terms of x (ex. 3x + y = 7, so y = 7 -3x). Try #13-16 on pg. 351.





2.Next, read pg. 353 and 354 from your textbook. Define all bolded words (skip abscissa) in your notebook (or on your blog if you want to) from those pages using this website, http://www.amathsdictionaryforkids.com/




13. 2x+y=6

y=6-2x



14. 5x+y=7

y=7-5x



15. 3x+2y=8

2y=8-3x



16.2x+5y=10

5y=10-2x



Definitions

Origin: the point of intersection of the x-axis and y-axis on a coordinate or Cartesian plane. the coordinates of the origin are (0,0).

x-axis: the horizontal axis of a graph

y-axis: the vertical axis of a graph

coordinate plane: a plane containing two perpendicular axes

coordinates: shown as pairs of letters and/or numbers. used to show position on a coordinate plane or map

x-coordinate: the position of a point according to the x-axis

y-coordinate: the position of a point according to the y-axis.

quadrants: any quarter of a plane divided by an x or y-axis