Answer:
y = -3x + 7
Step-by-step explanation:
To start with the slope, given by two points on the graph:
(0, 7) and (1, 4):
Let x1 = 0
x2 = 1
y1 = 7
y2 = 4
We can use the following slope formula:
[tex]m = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} = \frac{rise}{run}[/tex]
[tex]m = \frac{(4-7)}{(1-0)} = \frac{-3}{1} = -3[/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, 7). 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 = -3x + 7
