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

Question

Nathan Axel · Accepted Answer

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

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.

Isaiah Anthony · Answer

undefined To graph the equation 2x + y = 5 by plotting points:

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

For example:
- Let x = 0, then solve for y: 2(0) + y = 5 -> y = 5.
- Let x = 1, then solve for y: 2(1) + y = 5 -> y = 3.
- Let x = 2, then solve for y: 2(2) + y = 5 -> y = 1.

Plot the points (0, 5), (1, 3), and (2, 1) on the coordinate plane and draw a straight line through them. This line represents the graph of the equation 2x + y = 5.

Hazel Anglin · Answer

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

1. Choose values for $x$ and solve for $y$ to find points that satisfy the equation.
2. Plot the points on a coordinate plane.
3. Draw a straight line passing through these points to represent the graph of the equation.

Let's find some points by choosing values for $x$:

1. When $x = 0$, $2(0) + y = 5$ → $y = 5$. So, the point is (0, 5).
2. When $x = 1$, $2(1) + y = 5$ → $y = 3$. So, the point is (1, 3).
3. When $x = 2$, $2(2) + y = 5$ → $y = 1$. So, the point is (2, 1).
4. When $x = 3$, $2(3) + y = 5$ → $y = -1$. So, the point is (3, -1).

Plot these points on a coordinate plane and draw a straight line passing through them. This line represents the graph of the equation $2x + y = 5$.