what is the slope intercept form for these given numbers , x=6,8,10,12 y=-7,-6,-5,-4

Question

find the slope intercept form for the given graph

x=6,8,10,12

y=-7,-6,-5.-4

 

Answer 1

The points:

   (6,-7)

   (8,-6)

   (10-5)

   (12,-4)

 are all on a line (note: two points determine a line).

 

The slope (that is, rise over run) can be computed using any two of the points.  It is (1/2).  In slope-intercept form (y=mx+b) of the equation of this line, slope, m, is (1/2).

 

The y-intercept is the point where x=0 [that is, the point (0,b)]. Using a slope of (1/2) and the point (6,-7), we can compute b.  (-7-b)/(6-0) = (1/2).  So, b=-10.

 

The equation of the line, in slope-intercept form, is:    y=(1/2)x - 10.

      [Be sure to check that the various points satisfy that equation.]

Answer 2

x and y have a common difference among each other.  Therefore, there is a slope.

 

slope = Δy/Δx = 1 / 2

 

 

Then use any point for the point slope form of a line.

 

y = (1/2)(x + 7) + 6

 

y = (1/2)x + (7/2) + 6

 

y = (1/2)x + (19/2)