Question

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

Answer 1

Put x = 0 and y = 0 into the equation to find coordinates.

Explanation:

2x + y = 5 is an equation that will give sets of coordinates if you substitute different values of x and/or y into the equation. If you put when x = 0 and y = 0 in then you will get the points when the line crosses the x and y axes.

When x = 0 `=>` 0 + y =5
so y = 5. Here is one pair of coordinates (0,5)
When y = 0 `=>` 2x + 0 = 5
so 2x = 5 and x = 2.5. Here is the second pair of coordinates (2.5,0)
Plot these two points on the axes and you will have your straight line.