The graph of the equation y=4-x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4-x. Also, what do you think is the minimum number of points you need to plot in order to draw the graph of y=4-x. Please explain

Set y=0 and solve for x
set y = 1 and solve for x
set y = 2 and solve for x
set y = 3 and solve for x
set y = 4 and solve for x
Then graph the points. What kind of a line do you get?
Rearrange the the equation from y = 4-x to y = -x + 4
The general equation for a straight line is y = mx + b. Doesn't this look like the equation you have? How many points does it take to make a stright line.

To find points that satisfy the equation y = 4 - x, we can substitute different values for y and solve for x. Here are five points:

1. When y = 0:
0 = 4 - x
x = 4
Point: (4, 0)

2. When y = 1:
1 = 4 - x
x = 3
Point: (3, 1)

3. When y = 2:
2 = 4 - x
x = 2
Point: (2, 2)

4. When y = 3:
3 = 4 - x
x = 1
Point: (1, 3)

5. When y = 4:
4 = 4 - x
x = 0
Point: (0, 4)

To graph the equation y = 4 - x, you can plot these five points on a coordinate plane. Connect the points with a straight line.

When we rearrange the equation into the form y = -x + 4, we can see that it has the general form of a straight line equation: y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -1, and the y-intercept is 4.

To draw a straight line, we need only two points. However, having more points helps to ensure accuracy and provides a clearer picture of the overall shape and direction of the line. In this case, we used five points to plot the graph.

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