solve the system of equations by graphing, f(x)=-1/2x +2 g(x)=9/2x -8

- anonymous

solve the system of equations by graphing, f(x)=-1/2x +2 g(x)=9/2x -8

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- anonymous

ok

- anonymous

let me see

- anonymous

someone please help me

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- anonymous

but its pretty simple

- anonymous

not for me i really suck at math, please help me step by step

- dumbcow

is this correct
f(x) = -(1/2)x + 2
f(x) = (9/2)x - 8

- anonymous

not sure how to make the fraction symbols for -1/8 and 9/2

- dumbcow

thats ok me neither.
both of these are linear of the form y = mx+b
m = slope (rise/run)
b = y-intercept (where it crosses y-axis)
Now we need to graph each one
First identify y-intercept for our first point
1) b = 2
2) b = -8
put these points on the graph on the y-axis

- dumbcow

Next we look at slope to find second point
1) m = -1/2
This means starting at our y-intercept we go down 1 and over to right 2, repeat process for additional points
2) m=9/2
This means starting at y-intercept go up 9 and over to right 2
connect points to make each line
point where they intersect is the solution

- anonymous

in the begining the first points b=2 b=-8 is that graphed as (2,-8)?

- dumbcow

oh sorry i meant 1) to mean line 1 and 2) to mean line 2
they are separate points
the x value is always zero for the y-intercept
(0,2) (0,-8)

- anonymous

ok im really bad at this stuff

- dumbcow

when you think y-intercept, think y-axis....points will be directly on y-axis

- anonymous

ok, so back to m=-1/2 and m=9/2

- dumbcow

yes start with the first one
go to starting point (0,2)
-1 means go down 1
2 means go right 2
plot a point

- anonymous

ok so after i graphed them i came up with (2,1)?

- dumbcow

correct
this is the point where they cross

- anonymous

ok do u have time to help me with more

- dumbcow

for a little bit, if nothing else i'll give you the steps

- anonymous

ok f(x)=-1/8x-3 g(x)=5/8x-9

- dumbcow

same thing solve by graphing

- dumbcow

do the exact same steps we did before
the only thing that changes is the slope and y-intercept

- dumbcow

for f(x) = mx + b
m=-1/8
b=-3

- dumbcow

can you graph the first point from there

- anonymous

start at 0 and go down the y to -3

- dumbcow

good

- anonymous

same for (0,-8)

- anonymous

they intercept at (2,-3) is that correct?

- dumbcow

careful the -8 was part of the slope for the first line

- dumbcow

the other y-intercept would be (0,-9)

- anonymous

right , after i graphed them i got (2,-3)

- dumbcow

remember what the difference between m and b are
another way to think of it is the slope is always the number associated with the x, y-intercept is always the constant value

- dumbcow

no you should get (8,-4)

- dumbcow

starting at (0,-3)
go down 1
over right 8

- anonymous

ok i got it

- dumbcow

ok good
keep repeating those steps
gotta go
good luck

- anonymous

thank you so much

- dumbcow

your welcome

- anonymous

thank you so much

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