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
