Answer : The The x-intercept and the y-intercept of the graph of the equation is, [tex]x=\frac{16}{9}[/tex] and [tex]y=\frac{16}{21}[/tex]
Step-by-step explanation :
The given equation is:
[tex]9x+21y=16[/tex]
To calculate the x-intercept and the y-intercept of the graph of the equation, first we are taking value of x = 0 and then y = 0.
When x = 0 then value of 'y' is:
[tex]9x+21y=16[/tex]
[tex]9(0)+21y=16[/tex]
[tex]0+21y=16[/tex]
[tex]21y=16[/tex]
[tex]y=\frac{16}{21}[/tex]
When y = 0 then value of 'x' is:
[tex]9x+21y=16[/tex]
[tex]9x+21(0)=16[/tex]
[tex]9x+0=16[/tex]
[tex]9x=16[/tex]
[tex]x=\frac{16}{9}[/tex]
The x-intercept and the y-intercept of the graph of the equation is, [tex]x=\frac{16}{9}[/tex] and [tex]y=\frac{16}{21}[/tex]
The correct graph is shown below.
