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)
