Question

PLZ I REALLY NEED HELP 15 POINTS

Answer 1

To find the X intercept, replace y with 0 and solve for x:

9x + 21(0) = 16

9x = 16

x = 16/9

To find the Y intercept, replace x with 0 and solve for y:

9(0) + 21y = 16

21y = 16

y = 16/21

X-intercept is 16/9

y intercept is 16/21

Answer 2

Answer : The The x-intercept and the y-intercept of the graph of the equation is, $x=\frac{16}{9}$ and $y=\frac{16}{21}$

Step-by-step explanation :

The given equation is:

$9x+21y=16$

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:

$9x+21y=16$

$9(0)+21y=16$

$0+21y=16$

$21y=16$

$y=\frac{16}{21}$

When y = 0 then value of 'x' is:

$9x+21y=16$

$9x+21(0)=16$

$9x+0=16$

$9x=16$

$x=\frac{16}{9}$

The x-intercept and the y-intercept of the graph of the equation is, $x=\frac{16}{9}$ and $y=\frac{16}{21}$

The correct graph is shown below.