Step-by-step explanation:
The equation 5x + 3y = 15 is a straight line. So, to graph the equation we need to find two points on the line.
So, If we replace x by 0, we get:
5*0 + 3y = 15
0 + 3y = 15
3y = 15
y = 15/3
y = 5
And, If we replace y by 0, we get:
5x + 3y = 15
5x + 3*0 = 15
5x + 0 = 15
5x = 15
x = 15/5
x = 3
So, we have two points (0, 5) and (3, 0). Then the graph of the function is: