Question

How do you graph `2x+5y=10` by plotting points?

Answer 1

Write the equation as `y = mx + c`
Choose x-values and work out y-values

Explanation:

It is difficult to find points when the equation is in this form.
Change it into `y = mx + c`

Then you can choose any x-value and work out its corresponding y-value. It is a good idea to have about 5 points, two with negative x-values, x= 0 and two with positive x-values.

This will give you a nice spread and you will easily be able to see if there are errors, because the points will not all lie in a straight line as they should.

`2x + 5y = 10`
`5y = -2x +10 " " rArr " y = -2/5x + 2`

When x = -5, y = 0, When x= 0, y = 2 etc