It's a table that shows point that all lie on the same line. Find the slope intercept form for the line

Question

X -2 0 2

Y 2 6 10

 

The equation is y=

Answer 1

Calculate slope...

 

m=(y2-y1)/(x2-x1)

   =(10-6)/(2-0)...use points (2,10), (0,6)

   =4/2................simplify

m=2

 

Substitute the slope "m" and one of the point coordinates 

into the "point-slope" equation...

(y-y1)=m(x-x1)....general form, "point-slope" equation

(y-10)=2(x-2)......substitute "m=2", point coordinates (2,10)

   y-10=2x-4........distribute

        y=2x+6.......add 10, both sides

 

So your equation is y=2x+6 (in "slope-intercept" form).  

To check, plug your tabular point values into this equation

to check for truth.  The graph of this equation is a straight

line with increasing slope from left to right.  Your tabulated

point values should all lie on this line.