This week we learned about slopes on a graph. One thing that we learned this week was how to find the slope of a line on a graph. To find the slope of a line on a graph, use this formula: 

Take two points on a graph, say (5,6) and (4,5). Input both coordinates into the formula, and you’re left with the slope.

 

This week, we continued our functions and relations unit, and finished with a test. We were introduced to Desmos, a program used to demonstrate graphs. I demonstrate two equations with the program here. You can also create tables that can draw lines.

https://www.desmos.com/calculator/wgq4fpzw8k

This week we started learning about Relations and Functions. We’ve learned how to graph specific points on a graph, along with finding x and y-intercepts.

To find the x-intercept of say y=2x+2, you would substitute y for 0. You’re then left with 0=2x+2.

Subtract 2 from both sides to get -2=2x.

Divide -2 from both side and x=-1

You can do the same thing with finding the y intercept. To find the y-intercept substitute x for 0. The equation comes to 2x=2.

Divide both side by two to get y=1

We continued learning about factoring this week. We talked about difference of squares problems. Factor of squares problems can be written as = (a+b)(a-b) or (a-b)(a+b).

An easy one is . That can be factored into either (x+5)(x-5) or (x-5)(x+5)

Another more complicated one is . It is factored into x(x+4)(x-4), and then factored further into x(x+4)(x+2)(x-2).