Answer:
[tex]y=-\frac{2}{5}x-1[/tex]
Step-by-step explanation:
In order to find the answer, we first need to know the slop form.
y=mx+b
In order to find the slope (m), we need to find at least 2 clear points on the graph. Looking at the graph, we can see that one point is (-5, 1) and (0, -1).
We can use either the formula [tex]\frac{y2-y1}{x2-x1}[/tex] or rise over run. In this scenario, looking at the graph and using rise over run will be the fastest way. Starting at point (0, -1), you have to rise 2 and run 5.
In addition, the line is going into infinite value in the second and fourth quadrant. This tells us that the slope is negative. [tex]m=-\frac{2}{5}[/tex].
To find the b value, all we have to do is find the y-value that is on the y-axis. (0, -1), and the answer is -1.
This, gives use the formula [tex]y=-\frac{2}{5}x-1[/tex]
If you want to check your answer, simply plug in a random point on the line into the formula and the equation will be valid.
