Answer:
y= x - 5
Step-by-step explanation:
The equation of a line is generally y=mx+b.
m= the slope, b= the y-intercept
By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:
m=y2−y1/x2−x1
Plug in (5,0) and (0,-5):
m= -5 - 0 / 0 - 5
m = -5/-5
m = 1
The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."
Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.
So plug these numbers into the line equation, y=mx+b:
m= 1
b= -5
y= mx+5
y= (1)x + (- 5)
y= x - 5
Voila!
