Week-14

This week we learned more about a different formula on how you can show the slope, x-coordinate and y-coordinate, it’s called the point slope form. I think this is one of my favorites ones because it is easy and useful, the base of this form of equation is a(x-b)=y-c. “B” is the x-coordinate and “c” is the y-coordinate and lastly “a” is the slope.

Point Slope Form

Example #1:

For our first example we are given a slope of 3 and the coordinates (-2,7), we will first have the slope at the front of the equation, then following the x-coordinate then the y-coordinate. So if we just put the numbers in then it will look like: 3(x-(-2)= y-7 and when two negatives are side by side then it will turn into a positive so our final equation will be 3(x+2)=y-7.

Example #2:

For our second example we need to find the slope between the coordinates (3,1) and (-4,3) on the graph, and the slope is: 4/7. Since we have two points we can choose which one we want to use, for this we will just use the first point. The base for our equation is a(x-b)= y-c, “a” is our slope, “b” is our x value and c is the y value .We will start off with the slope at the front of our equation then beside it we have our x-coordinate, these two will always be with each other, the slope will never be with the y-coordinate. So, our point slope form equation will look like: 4/7(x-3)= y-1.