Answer:
y = -x + 2 or y = -1x + 2
Step-by-step explanation:
To start with the slope, given by two points on the graph:
(-2, 4) and (0, 2):
Let x1 = -2
x2 = 0
y1 = 4
y2 = 2
We can use the slope formula:
[tex]m = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} = \frac{rise}{run}[/tex]
[tex]m = \frac{2-(-2)}{0-4} = \frac{4}{-4} = -1[/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, ( b ). 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, 2). It is usually the point where it touches the y-axis.
Now that we have our slope (m ) and y-intercept ( b ), we can establish our linear equation in the slope-intercept form, y = mx + b:
y = -x + 2 or y = -1x + 2
