4)
3x-2y=10
5x+y=4
We solve this system of equation by elimination method.
3x-2y=10
2(5x+y=4)
------------------------
13x=18
Answer: A) 13x=18
5)
slope-intercept form:
y=mx+b
y=f(x)
m=slope
b=y-intercept
1) we calculate the slope:
we choose any two points of this table:
For example: (2,2) and (3,4)
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(4-2)/(3-2)=2
2) we compute "b";
we choose an any point of this talbe:
For example: (4,6), and we substitute "x" for "4" and "y" for "6" in the next equation:
y=2x+b
6=2(4)+b
b=6-8
b=-2
3) we build the function that it belong this table:
m=2
b=-2
f(x)=mx+b
f(x)=2x-2
Answer: B) f(x)=2x-2
