Answer:
the slope is 1/3
the y-intercept is at (0,3)
y = 1/3×x + 3
Explanation:
a line has the equation
y = a×x + b
the 2 points we were given as being in the line allow us to define now 2 equations to solve for the 2 variables a and b :
3 = a×0 + b => b = 3
2 = a×-3 + b
=> 2 = a×-3 + 3
-1 = a×-3
1 = a×3
a = 1/3
so, our equation is
y = 1/3×x + 3
the slope or incline of the line is expressed by the y/x ratio or simply a, the factor of x. and that is 1/3.
it is positive, as the line goes up (looking from left to right).
and it means that the value of x has to increase by 3 units, so that y increases by 1 unit.
the y-intercept is the point with x=0. so, that is the already predefined point (0,3).