The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line
written in general form?

x - y + 5 = 0
x + y - 5 = 0
x - y - 5 = 0

x+y-5=0

Step-by-step 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

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0