Answer:
[tex]y = -1x + 3[/tex]
Step-by-step explanation:
Finding the y-intercept
The y-intercept is the point where the line crosses the y-axis. As we can see, there is a point at the y-axis. (0, 3) is our y-intercept.
Finding the slope
Using two points:
Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
The two points we see on the graph, we can use those points to find the slope.
(0, 3)
(4, -1)
Plug these points into the formula; solve:
[tex]\frac{-1-3}{4-0}[/tex]
[tex]=\frac{-4}{4}[/tex]
[tex]=-1[/tex]
Therefore, m = -1, and b = 3. Hence, the equation for the graph is y = -1x + 3.
