a) The value of A is -2 and the value of B is 3
b) A line whose equation is represented by 2x - 3y = 6 is line E.
The intercept of a graph is the point where the graph of a line crosses either the x-axis or the y-axis on a coordinate plane.
Based on the information provided above, the coordinates (0, A) corresponds to the y-intercept of the graph. When x is 0, the value of A is given by;
2x - 3y = 6
2(0) - 3y = 6
y = -6/3
A = y = -2
When y is 0, the value of B is given by;
2x - 3y = 6
2x - 3(0) = 6
x = 6/2
B = x = 3.
Part b.
By critically observing the graph shown above, we can logically deduce that a line that has its x-intercept at (3, 0) and y-intercept at (0, -2) is line E.