Answer:
x+y-5=0
Explanation:
From the graph, we can see that the line goes through points (0, 5) and (5, 0).
To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.
Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).
In this equation:
y=a placeholder for the y that will be written in the actual equation
y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)
m=slope
x=a placeholder for the x that will be written in the actual equation
x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)
When we substitute the numbers we found, we will get:
y-5=-1(x-0)
y-5=-x
When we add x to both sides, we will get:
x+y-5=0