Answer:
y = - [tex]\frac{1}{4}[/tex]x-1
Step-by-step explanation:
We can find the equation of a line by using the slope/intercept formula: y=mx+c, where m is the slope and c is the y-intercept.
The y-intercept, c, is the y-value when the line crosses the y-axis. From the graph, we can see that this is -1.
The slope can be found by taking two points frown the line, (x,y) and (X,Y), and using the formula (Y-y)/(X-x). Two points on our line are (-4,0) and (0,-1):
Slope = (-1-0)/(0-(-4))
= -1/4
Now that we know the y-intercept (c) and slope (m), we can write our equation:
y=mx+c
y = - [tex]\frac{1}{4}[/tex]x-1
