Answer:
the slope is "1"
the y-intercept is "5"
y = x + 5
Step-by-step explanation:
In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):
slope = (y2-y1) / (x2 - x1)
in our case:
slope = (8 - 6) / (3 - 1) = 2/2 = 1
then the slope is "1".
Now we write the general "slope-intercept" equation of a line using the slope we found:
y = m x + b
y = 1 x + b
and now use one of the points (for example (3, 8) to find the intercept "b":
(8) = 1 (3) + b
8 - 3 = b
b = 5 (y intercept)
Then the equation of the line can be written as:
y = x + 5
