Answer:
The graph is the equation 3x + 4y = 12 is attached below.
Step-by-step explanation:
Given the equation
3x + 4y = 12
First,
We need to determine the y-intercept:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation 3x + 4y = 12
3x + 4y = 12
3(0) + 4y = 12
0 + 4y = 12
4y = 12
divide both sides by 4
4y/4 = 12/4
y = 3
Thus, the y-intercept is: (0, 3)
Now, check the attached graph below.
Determining the y-intercept of the equation from the graph
From the graph, it is clear
at x = 0, y = 3
Thus, the y-intercept is (0, 3)
Determining the x-intercept of the equation from the graph
From the graph, it is clear
at y = 0,
3x + 4(0) = 12
3x = 12
x = 4
Thus, the x-intercept is (4, 0)
The graph is the equation 3x + 4y = 12 is attached below.
