Inequalities

Today in math class we learned about inequalities. But first we reviewed on changing point slope form to standard form. For inequalities, we learned that < means less than (we already knew that, but I can't say that for some of my fellow classmates) and > means greater than. Also that < means less than or equal to and > means greater than or equal to. We also learned how to graph them. For example: 2x + 4 < 10. You would subtract four from the problem so it would end up like: 2x < 6. Then you would divide by two to both sides and it would end up like: x < 3. When we graph it, you would put an open circle on 3 and draw a solid line going left on a number line.

Standard Form

Today in math class we continued learning on standard form. I've learned that when a slope is positive the coefficient is negative and vise versa. For example: y = 2/3x + 2 ---> 2x - 3y = -6. I think I've finally got a hang of standard form! Wow, big moment for me. I just love those moments when I get the lightbulb. It's just an awesome feeling to get!

Substitute & Equations

Today in math class we continued learning about slopes and graphs. Today Mr. S gave us a worksheet. We had to graph the equation given to us on the worksheet and tell if it is steep, if "y" decreases or increases, give the y-intercept, and tell if the slope goes up fromm left to right. The worksheet was basically very easy to understand after Mr. S went over some of the columns like telling if the "y" increases or decreases. We finished the worksheet in class and if we didn't finish it in class then we would have to finish it for homework. We also learned that if we substituted the coordinates in the equation: y = 3x + 1; (2,7) then we would know if the coordinates were right or not. For example, if we substited 2 for "x" in the equation and 7 for "y" then the equation would be true because 7 = 3(2) + 1 is a true statement. If the coordinates you substituted in aren't true then you would know that the coordinates are wrong.

Parallel & Perpendicular

Today in math class we learned about parrallel and perpendicular lines. We also learned how to write an equation that is parrallel and perpendicular. To tell if a line in parallel with another line is to see if they have the same slope. If they do then they are parallel lines. To write a perpendicular line, you just switch the slope. For example: y = 2x + b --> y = -1/2x + b. This is known as the multiplicative inverse. It is really simple and easy to do. We didn't go through much things today because most people in my class still can't find a slope. Anyways, I just hope I'm ready for the test tomorrow. Usually when Mr. S teaches us it makes sense, but the test is some crazy mojo.

P.S, S.I, & STD?

Today in math class we reviewd point slope and slope intercept and learned about standard slope. We learned how to change standard slope to slope intercept and vise versa. Here's an example: x + 4y = 16. To change it to slope intercept, you first need to isolate the "y" variable. So in order to do that, you divide by 4 for 4y and 16. That will then give you x + y = 4. But it is understood that "x" is 1 and so the slope intercept is:
y = -1/4x - 4 and there you have it! So to change -3/5; (-2,-4) to standard form. First you need to put it in point slope to find the y-intercept.

Example:
1.  y + 4 = -3/5 (x - -2)
2.  y = -3/5x +2 -4
3.  y = -3/5x - 5 1/5
So my standard form is 3x - 5y = 26.

Point Slope & Slope Intercept 2

Today in class we did point slope and slope intercept again. We also did problems on a white board. Mr. S just mainly gave us something like this: 3/4; (0,2). Then we would have to turn it into point slope form and graph it. So if we were to change this into point slope form it would look like this: y - y1 = 3/4 (x - x1). The original form of point slope is y - y1 = m (x - x1). So all I did was subsitute "y1" with 2 and "x1" with 0 and m with the slope 3/4. After you do all the math then you would end up with y = 3/4x + 2 or in slope intercept form. Then on the white boards we would graph it. So starting from the point (0,2) I would go up 3 and across 4. Why? Because 3/4 is y/x and rise/run. Since y is the rise we would go up 3 and x is the run then we would go across 4. We would start from (0,2) becuase that is a given point and when we graph it we can find the y-intercept.

Point Slope & Slope Intercept

Today in math class we reviewed on point slope and slope intercept. Mr. S gave us a Do Now that required us to make a equation and we had to know what to do and what we were doing. It was pretty easy, but most of the students in my class didn't know what to do and didn't ask questions. We wasted a lot of time and I basically sat there bored out of my mind watching them attempt to slove our Do Now that wasn't even that hard and the only way to get it wrong was 1) You weren't paying attention in class, 2) You don't know what to do and 3) You messed up somewhere in the problem. I know I sound like a complete nerd right now, but really? If you don't even bother to participate or learn in class, get the slope out of here!