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

Question

Julia Adams · Accepted Answer

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

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

Ethan Adkins · Answer

undefined To graph the equation 2x + 5y = 10 by plotting points, you can follow these steps:

1. Choose values for x and solve for y to find corresponding points.
2. Plot the points on the coordinate plane.
3. Connect the points to form a straight line.

For example, let's choose three values for x:

When x = 0:
2(0) + 5y = 10
5y = 10
y = 2
So, the point (0, 2) is on the line.

When x = 2:
2(2) + 5y = 10
4 + 5y = 10
5y = 6
y = 6/5
So, the point (2, 6/5) is on the line.

When x = 4:
2(4) + 5y = 10
8 + 5y = 10
5y = 2
y = 2/5
So, the point (4, 2/5) is on the line.

Plot these points on the coordinate plane and connect them to form a straight line.