Answer:
y = -5x - 5
Step-by-step explanation:
To start with the slope, given by two points on the graph:
(-2, 5) and (-1, 0):
Let x1 = -2
x2 = -1
y1 = 5
y2 = 0
We can use the slope formula:
[tex]m = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} = \frac{rise}{run}[/tex]
[tex]m = \frac{0 - 5}{-1 - (-2)} = \frac{-5}{1} or -5[/tex]
It is a negative slope because it is sloping downwards.
Now that we have our slope, we can move on to the y-intercept. The y-intercept is the value of y when the value of x = 0. Looking at the graph, we can see that the y-intercept is (0, -5). It is usually the point where it touches the y-axis.
Now that we have our slope and y-intercept, we can establish our linear equation in the slope-intercept form, y = mx + b:
y = -5x - 5
