The given equation is : 3x + 4y = 28
To plot the graph of the equation first find any three set of cooridnates :
Substitut x = 0 in the equation :
3x + 4y = 28
3(0) + 4y = 28
4y = 28
y = 7
coordinate : (x, y) = ( 0, 7)
for x = 1
3x + 4y = 28
3(1) + 4y = 28
3 + 4y = 28
4y = 28 - 3
4y = 25
y = 6.25
coordinate : (x, y) = ( 1, 6.25 )
for y = 0
3x + 4y = 28
3x + 4(0) = 28
3x = 28
x = 28/3
x = 9.33
coordinate : (x,y) = ( 9.33, 0)
Plot these set of coordinates on the graph
(x, y) = ( 0, 7)
(x, y) = ( 1, 6.25 )
(x,y) = ( 9.33, 0)
The graph of the equation : 3x + 4y = 28