Did you know?
Did you know that determining which equations can be graphed more easily depends on their forms? For example, equations that are already in slope-intercept form (y = mx + b) can be graphed more easily because the slope and y-intercept are directly given. Equations with x- and y-intercepts, like the first equation (11x + y = 4), can also be graphed easily since we can simply substitute x = 0 to find the y-intercept and y = 0 to find the x-intercept. On the other hand, equations like x + y = -2 require a table of values to graph efficiently, as we need to substitute different values of x to find the corresponding y values. Lastly, equations like x - 2y = 18 may require rewriting in slope-intercept form (y = mx + b) to determine the slope and y-intercept, making graphing easier.