Question

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

The x intercept of the line is ___
A) (5,0)
B) (10,0)
and it's y intercept is ___
A) (0,1/20)
B) (0,20)

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

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

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:

`(2)/(5)x+(1)/(10) y=2`

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

`(2)/(5)x+(1)/(10)\left(0\right)=2\\\\(2)/(5)x+0=2\\\\5\cdot (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:

`(2)/(5)\left(0\right)+(1)/(10)y=2\\\\0+(1)/(10)y=2\\\\10\cdot (1)/(10)y=2\cdot \:10\\\\y=20`

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