A line passes through (3, 7) and (6, 9)
Here we first find the slope using the formula:
[tex] m=\frac{y2-y1}{x2-x1} [/tex]
[tex] m=\frac{9-7}{6-3} [/tex]
m=2/3
Now we will use slope intercept form to get the value of y-intercept
y=mx+b
using the point (3,7) and slope m=2/3
7=(2/3)(3) +b
b=5
So we use slope m=2/3 and intercept b=5 in slope intercept form to get the final equation as
y=2/3 x +5
