Explanation:
I see 2 points with integer number coordinates.
(0, -5) and (3, 2).
the slope intercept (with the y axis) form of a line is
y = ax + b
a is the slope defined by the ratio y/x, which indicates how many units y changes, when x changes a certain amount of units.
so, going from (0, -5) to (3, 2) x changes by 3-0=3 units, and y changes by 2- -5 = 7 units.
therefore, the slope = a = 7/3.
the (y axis) intercept we get as y value for x = 0. and we have that already with our first point.
so, b = -5
=> the slope intercept firm for this line is
y = 7x/3 - 5