Answer:
See below.
Step-by-step explanation:
[tex]3x+23y=10\\23y=10-3x\\y=\frac{10-3x}{23} \\y=\frac{10}{23} -\frac{3}{23} x[/tex]
To calculate the x-intercept of this equation, we equalize it to 0 and isolate x.
[tex]\frac{10}{23} -\frac{3}{23} x =0[/tex]
[tex]-\frac{3}{23} x =-\frac{10}{23}\\x=-\frac{10}{23}: -\frac{3}{23}\\x= \frac{10}{3}[/tex]
The y-intercept is the number on the function without a X. In this case:
[tex]\frac{10}{23} =Y[/tex]
We mark the point of both interceptions on a Cartesian plane and we draw a line to graph the function.
