Answer:
y = -x + 6
Explanation:
Slope-intercept is the y = mx + b form, in which m is the slope, and b is the y-intercept.
From the graph provided, we can see that the line intercepts the y axis when the y-coordinate is 6, so we can use 6 as "b" in the equation.y₂
The slope can be found by picking two points on the graph, calling the first point (x₁, y₁) and the second point (x₂, y₂), and applying the formula slope = (y₂ - y₁) ÷ (x₂ - x₁).
Now, we pick two points - I'm choosing (1, 5) and (2, 4) - and apply the formula.
(4 - 5) ÷ (2 - 1) = -1/1 = -1
Therefore, we know our slope is -1
Putting this all together, we get y = -1x + 6, which we can simplify to y = -x + 6 (since -1 * x is the same as -x)