What is the equation for the lines that passes through the coordinates (2,7) and (0,1)

(x1,y1)   is  (2,7)

    (x2,y2)   is  (0,1)

Step-by-step explanation:

Point-slope form is:

  (y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)

   y - 7 =( (-6)/(0-2) )(x-2)

   y - 7 = 3x - 6

    y = 3x + 1    [slope-intercept form]

Check:

  Is  (2,7) on the line:

       7 = 3(2) + 1   ?

       y = 7   ?yes

  Is (0,1) on the line:

       1 = 3(0) + 1   ?

       1 = 1   ? yes

y=3x+1

to find the slope, find the change in y/change in x

7-1=6

2-0=2

6/2=3

3 is your slope

your y intercept occurs when x=0, and that was given to you in the problem

(0,1)

your y int is 1

y=3x+1