Answer:
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
Step-by-step explanation:
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is
[tex]\frac{y2-y1}{x2-x1}[/tex]
Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
