Mathematical+Reflections+p.+25+0910

G.A Aug.29,09

Thinking With Mathematical Models

 * __BIG IDEA__** : Many real world situations can be modeled and predicted using mathematics.

INV 1 Essential Question: What relationships make a straight line on a graph?

**__Mathematical Reflections 1 pg.25__** Write the general form of the equation for a linear relationship. Explain what each part of the equation means.** The general form of the equation for a linear relationship is y= mx + b. m basically would be the slope and b is basically the y intercept. if you know the coordinates of two points on a line, how can you find an equation for the line? Use an example if it helps you to explain your thinking.** well you could figure it out. figure out the slope. after that use anouther coordinate to find b in the equation. describe the graph of a line that has a negative slope.** a negative slope would look like a line going down. it would pass through the quadrents, 2 and 4. m would tell you. if m is negative,the slope will be.
 * 1) **In problem 1.2, you drew a strait line to model the trend in the (thickness, breaking weight) data. For data that can be modeled with a strait line, how do the //y// values change as the //x// values increase or decrease?** well in the graph i drew in 1.2 the y value would increase by one and the x value did not increase the same every time.
 * 2.
 * 3.
 * 4.a.
 * b. what part of the linear equation y= mx + b tell you whether the graph has a negative slope?**

with a negative slope y will increase by 1, x would increase by m. well there are different methods. You could make a table for the equation, make a graph, or solve the equation with y = mx + b.
 * c. for a line with a negative slope, how go the //y// values change as the //x// values increase?**
 * 5.a. explain how you would check whether the point (2,7.5) is on the line with equation y= 3x + 0.5**
 * b. after you substitute a number for x in the eqautin**