First, write both equations in slope-intercept form:
y=mx+b
Where:
m= slope (rise /run)
b= y-intercept (where the line crosses the y axis)
y=-1/2x+4 (a)
5x-4y=12
-4y= -5x+12
y= (-5x+12) /-4
y= 5/4x-3 (b)
The system:
y=-1/2x+4 (a)
y= 5/4x-3 (b)
To graph the function, first, locate the y-intercept and then plot points with the slope.
For (a)
b= 4 (0,4)
m= -1/2 = for every 2 units to the right along the x axis, the line goes down 1 unit.
Same process for (b)