Question

The equation of the line is 2/5x+1/10y=2

Answer 1

Hello here is : 
2/5x+1/10y=2
for : y = 0  : 2/5x=2      
The x intercept of the line is : x = 5 (answer A)
for : x = 0  : 1/10y=2   :
 and it's y intercept is ; 1 /20    ( answer :A)

Answer 2

Answer:

The x-intercept is A) (5,0) and the y-intercept is B) (0,20).

Step-by-step explanation:

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

We're asked to determine the intercepts described by the following linear equation:

$\frac{2}{5}x+\frac{1}{10} y=2$

To find the x-intercept, let's substitute y = 0 into the equation and solve for x:

$\frac{2}{5}x+\frac{1}{10}\left(0\right)=2\\\\\frac{2}{5}x+0=2\\\\5\cdot \frac{2}{5}x=2\cdot \:5\\\\2x=10\\\\x=5$

The x-intercept is A) (5,0)

To find the y-intercept, let's substitute x = 0 into the equation and solve for y:

$\frac{2}{5}\left(0\right)+\frac{1}{10}y=2\\\\0+\frac{1}{10}y=2\\\\10\cdot \frac{1}{10}y=2\cdot \:10\\\\y=20$

The y-intercept is B) (0,20)