No the answer should be 15 tickets. 250x0.06=15. number of tickets multiplied by percentage (in decimal form) to find what 6% of 250.
The fundamental principle of counting
Find slope
(y2-y1)/(x2-x1) is slope
(11-3)/(1-(-1))=8/2=4
y=4x+b
input a point
(1,11)
x=1
y=11
11=4(1)+b
11=4+b
minus 4 from both sides
7=b
the equatin is
y=4x+7
the closest one
minus 4x from both sides
y-4x=7
times everybody by -1
4x-y=-7
last choice is answer
equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(1,-2) and slope of 1/3
y-(-2)=1/3(x-1)
general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive
y-(-2)=1/3(x-1)
y+2=1/3(x-1)
times both sides by 3
3y+6=x-1
minus 3y both sides
6=x-3y-1
add 1 both sides
7=x-3y
x-3y=7
To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0
