Unit 8 - Lesson 6

Today we learned how to graph linear inequalities. First we graph the inequality as if it were a line. Next we figure out which side of the line should be shaded. We do that by picking a point on one side of the line. If that point makes the inequality true, then we know we shade that side of the line.

If the inequality is "less than or equal to" or "greater than or equal to", then the line is solid. If then the inequality is "less than" or "greater than", then the line is dotted.

For a blog, put this in your own words in a comment.

Unit 8 - Lesson 5

In this lesson we learned to solve two equations with two unknowns by graphing both equations and finding where the two lines intersected. When then checked our answer by using substitution to make sure we got the same answer.

We also learned that if the slope of the two lines is the same, then there is no solution for those two equations.

Unit 8 - Lesson 4

Today's lesson covered how to write an equation for a line using the slope-intercept form for an equation:

y=mx+b where

m=(y2-y1)/(x2-x1) and

b= y-intercept ( or where the line crosses the y axis).

For your blog, tell me something that you have done in a math class on graphing lines that was more challenging than this or tell me why you think this is so easy.

Unit 8 - Lesson 3

Today's lesson taught how to write equations for vertical and horizontal lines.

For vertical lines, the slope is underfined and the equation is of the form

x=c, where c is where the line crosses the x-axis.

For horizontal lines, the slope is zero and the equation is of the form:

y=b, where b is where the line crosses the y-axis.

Please comment on something you learned today or something you want to learn now that you have mastered this lesson.

Unit 8 - Lesson 2

This lesson introduced the general form for the equation of a line:

a*x+b*y=c

This is just a different way of stating the equation for a line. The other form that we had learned was the Slope-Intercept form of:

y=mx+b where

m=slope=rise/run=(y2-y1)/(x2-x1)

The lesson then gave us practice on how to use both of the forms of the equation to graph lines and determine the x and y intercepts of the line.

Please comment on something new you learned, some old that you already knew, or something about which you are curious now that you have had this lesson.

Unit 8 - Lesson 1

Today’s lesson was on linear growth and decay. The key concept is that there are many real life phenomenon that can be modeled with either linear growth or decay.

The mathematical model will fit into the general equation y=mx+b, where
m = the slope of the line, and
b = the y-intercept.

If the slope is positive, then there is linear growth. If the slope is negative, then there is linear decay.

The main difference between linear growth and decay that we are studying in Unit 8 and direct relationship that we studied in Unit 7 is that all direct relationships must pass through the origin. Linear growth and decay do not have to start at the origin.
Please add a comment on something you learned in this lesson, something you want to learn now that you have had this lesson, or something for which you want more explanation.