Answer:
System: A system of two equations that can be written in the form of y = mx + b where m is the slope and b is the y-intercept.
Graph: The graph of these two equations would be two straight lines in a coordinate plane.
Solution: The solution of the system would be the point where the two lines intersect on the coordinate plane, which represents the values of x and y that satisfy both equations.
Slope and y-intercept of 4x = y - 6:
Slope: 4 (m)
y-intercept: -6 (b)
Slope and y-intercept of 4y = 3x -5:
Slope: 3/4 (m)
y-intercept: -5/4 (b)
Note that the slope is the coefficient of x in the equation, and the y-intercept is the constant term in the equation. The solution can be found by equating the two equations and solving for x and y.