we have the equation
2/3x +1/2y =4
Find out the intercepts
step 1
Find out the y-intercept (value of y when the value of x=0)
For x=0
2/3(0) +1/2y =4
(1/2)y=4
y=8
y-intercept is (0,8)
step 2
Find out the x-intercept (value of x when the value of y=0)
For y=0
(2/3)x+(1/2)(0)=4
(2/3)x=4
x=6
x-intercept is (6,0)
step 3
Plot the intercepts, join them, and graph the line
see the attached figure
