the slope is 2/3.
that means that, when x increases by 1, y increases by 2/3.
the two coordinate points shown are (0,-2) and (3,0)
x has increased by 3 - 0 = 3.
y has increased by 0 - -2 = 2
the slope is the change in the value of y divided by the change in the value of x.
that becomes 2/3, which is the slope of the equation.
the x-intercept is the value of y when x is equal to 0.
that's at the coordinate point of (0,-2).
the y-intercept is the value of x when y is equa to 0.
that's at the coordinate point of (3,0).