For this case we have the following equation of a line:
[tex]\frac {2} {5} x + \frac {1} {10} y = 2[/tex]
To find the point of intersection with the x axis, we make y = 0:
[tex]\frac {2} {5} x + \frac {1} {10} (0) = 2\\\frac {2} {5} x = 2[/tex]
We clear the value of "x":
[tex]x = \frac {2 * 5} {2}\\x = 5[/tex]
So, the x-intercept of the line is 5.
To find the point of intersection with the y axis, we make x = 0:
[tex]\frac {2} {5} (0) + \frac {1} {10} y = 2\\\frac {1} {10} y = 2[/tex]
We clear the value of "and":
[tex]y = \frac {10 * 2} {1}\\y = 20[/tex]
So, the y-intercept of the line is 20.
Answer:
[tex]x = 5\\y = 20[/tex]
