Day: December 16, 2021

This week in math 10 we learned about intro to systems solving using graphing

for this we would use the y=m+b equation, we will also have two of these,

for example

x- 4= y and y=3x-8

for this you want to start with what is easier, in this case it would be x-4=y, so what we would need to do is isolate x because it is already positive

so we add four on both side, the -4 and +4 cancel each other out so it is no longer there

x= y+4

 

now we have solved for x we have to solve for y, now we insert the x into wherever there is x in the other equation,

y=3(y+4)-8

from there we solve using BEDMAS

y=3y+12-8

from here we add like terms

-2y=4

now we divide everything by -2 to isolate the y which leaves us with

y=-2

from here we would put in y wherever y is to complete solving x

x- 4= -2

we need to isolate x so we add 4 on each side which leaves us with

x=-2+4

add like terms

x=2

now to verify we insert x and y into the original equations to see if we were correct

2-4=-2

the first one is true

-2=3(2)-8

-2=6-8

-2=-2

it is true for the second equation

 

 

This week in math 10 we learned about how to graph equations

I’m going to show how to graph using the slope and y-intercept

first have you equation, I’m going to use y=1x+2

when doing this you want to start on the y intercept like this

since we have our starting point now we can use the slope to find the rest of the line,

 

the slope is 1 which is also equal to 1/1 we are going up by 1 (rise) and to the right 1(run) because it is a positive, you keep going until you can no longer graph

from here to complete it go down 1 and to the left one to complete the line

 

at this point you would run a line through the points to connect them all (but straighter)

 

This week in math ten we learned about how to use two coordinates and turn them into a slope intercept equation, first you need to know what slope intercept looks like

(rise=y run=x)

this will be the example

(6,4), (8,5)

from there you would subtract the x’s with the second x first  and the y’s in with the second first

so it would look like this

from there you would subtract the numbers which leaves you with

now you have your slope, from here it gets easier

now you would put you slope where the rise over run is and your first set of coordinates into the second x and y

 

and that would be two sets of coordinates turned into a point slope equation which makes it easier to graph.