MSA math Reflection 2

Math Reflection 2:

1) Y=mx +b is an equation that you can use for, pretty much, any linear relationship which would make a perfectly straight line on a graph. Y is the dependent variable or the “output” like the distance in miles or feet etc. (on the y axis.) M is the rate of change which is a unit rate (depending on how much time.) For example, M could be 5 miles per hour or 2 meters per second etc. Next is X. X is the independent variable or the “input”, like time (like seconds, minutes, hours etc. on the X axis). The next variable is B. B stands for the y intercept (a point on a graph when it crosses the y axis or when the y axis is 0 on a table). With any situation you use, this equation should be a linear equation, meaning that it should make an even, straight line on a graph.

2) A: You can use a table to solve a problem for a linear relationship to solve a problem by looking at the information that the table gives by looking at the X and Y columns to see what the relationship between them is. Then, you can keep adding to the table to solve any situation or equation. For example: If you had 2 meters on the y axis and 1 second on the x axis then you could figure out how many seconds it would take you 4 meter by just adding more seconds until you get to 4 (so it would be 4 meters in 2 seconds). You can use the graph to solve any problem for a linear relationship by looking at the linear line that it shows and keep going up or down the line to find your answer you are looking for. So it you were wanting to find how many seconds in 5 meters you would just drag you finger up the y axis until you got to 5 and then go across until you found how many seconds it took for 5 meters.

B: I have used an equation to solve a problem by substituting out the variables and plugging in the numbers that they give you to solve the problem or any problem. For example, if y=3x-7, so Y was the miles and x would be the number of minutes. If they asked me how many miles can so and so go in 6 minutes, I would do y=3*6-7 so 3*6=18, and 18-7= 11. So, my answer would be so and so can go 11 miles in 6 minutes.