Question 65736
What is the linear equation that created this table:
x=-3,-2,-1,0,1, 2, 3
y= 0, 2, 4,6,8,10,12
:
In order to find the equation of a line, you need a point and a slope.  You have 7 points, but no slope.
Never fear, we can use two points to come up with a slope using the slope formula: {{{highlight(m=(y2-y1)/(x2-x1))}}}, where m=slope and (x1,y1) and (x2,y2) are given points.
Let (x1,y1)=(-3,0) and (x2,y2)=(-2,2)
{{{m=(2-0)/(-2-(-3))}}}
{{{m=2/1}}}
{{{m=2}}}
Since one of the points we have is the y-intercept (0,6), and we now know the slope m=2, we can use the slope intercept form {{{highlight(y=mx+b)}}}, where m=slope, and (0,b)=y-intercept, to find the equation of the line.
m=2 (0,b)=(0,6)
{{{highlight(y=2x+6)}}}
Happy Calculating!!!