Week 8 math 10

Week 8 math 10

This week in math ten we learnt about the slope of a line and how to find one, we talked about “slope guy” which helps you determine the type of slope.

We learnt about “slope guy”, this helps you remember which lines are positive and negative along with lines that have a slope of zero and an unidentified slope. 

In the week we learnt about linear functions, we practiced determining equations and graphing them. I think the most important thing we learnt was linear equations. 

There are three different types of linear equations we learnt about:

 

General form ➡ Ax + By + C = 0

Point-slope form ➡ m(x – x1) = y – y1 

Slope y-intercept form ➡ y = mx + b

They can all be used to find the slope of a line, for example, if you are given a set of coordinates (10, 5) and a slope of -2 each equation can help you graph or find other points if you place the given values into the respective places:

[Slope y-intercept form ➡ y = mx + b] – In this equation m represents the slope and b represents the y-intercept so the equation with the given values would look like: y = -2x + 25, the first step would be to place the m value which is -2, then you will need to do some solving to find the “b” value, the coordinates are (10, 5) you place the 10 value in the equation: -2(10) + ___ = y then evaluate, -2(10) = -20, but the number must equal the y value which in this case is 5 so -20 plus what is equal to 5 the answer (25) is your missing value.

[Point-slope form ➡ m(x – x1) = y – y1] – In this equation m represents the slope, x and y represent the coordinates (10, 5) 10 being x and 5 being y, you place thes values into the equation: -2(x – 10) = (y – 5)

[General form ➡ Ax + By + C = 0] – In this equation none of the numbers represent any of the given values (10, 5) as well as -2 the slope, to do this equation you need to start from another equation: use “slope y-intercept form” which in this case is equal to y = -2x + 25 and work backward, one side must equal 0 so you must move the -2x + 25 to the other side of the equation, in doing this the signs reciprocate equaling to y +2x – 25 = 0, now you must reorder the equation: 2x + y – 25 = 0