Question

How do you graph the line `2x+5y=10`?

Answer 1

see explanation.

Explanation:

To draw a straight line , we only require 2 points, although 3 is better.

When the given line crosses the y-axis, the corresponding x-coordinate will be zero. Substituting x = 0 into the equation allows us to solve for y.

`x=0rArr2(0)+5y=10rArr0+5y=10rArry=2`

Hence (0 ,2) is a point on the line.

Similarly, when the line crosses the x-axis the y-coordinate will be zero. Substitute y = 0 into the equation and solve for x.

`y=0rArr2x+0=10rArrx=5`

Hence (5 ,0) is another point on the line.

Now plot the points (0 ,2) and (5 ,0) and draw a straight line through them.
graph{-2/5x+2 [-10, 10, -5, 5]}