Slope-intercept form is y = mx + b
So we can manage to do this:
(y - yo) = m.(x - xo)
Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.
(7 - 2) = m.(1 - 0)
5 = m
m = 5
So,
y = 5x + b
Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.
(y - yo) = m.(x - xo)
(y - 2) = 5.(x - 0)
y - 2 = 5x
y = 5x + 2
So, this is the line in slope-intercept form.
