Answer:
[tex] y = \dfrac{5}{2}x - 4 [/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
where m = slope, and b = y-intercept.
From the graph, we see that the y-intercept, b, is -4, so now we have
y = mx - 4
Now we need to find the slope from the graph.
We see that the points (0, -4), the y-intercept, and (2, 1) are points of the line.
slope = rise/run
rise is a vertical distance. (Up is positive; down is negative.)
run is a horizontal distance. (Right is positive; left is negative.)
Start at (0, -4). Go up 5 units. That is a rise of +5 since you went up. Now go 2 units to the right. That is a run of +2 units since you went right. The rise is 5, and the run is 2.
m = slope = rise/run = 5/2
The equation is
[tex] y = \dfrac{5}{2}x - 4 [/tex]
