From the graph, we have two points which are point A and point B
Point A (0, -1), this implies that the negative y axis is -1 and x is 0
Point B (3, 3), this implies that the x and y axis are 3 units each on the graph
A = (0, -1)
B = (3, 3)
Firstly, find the slope
Slope = rise / run
Rise = y2 - y1
Run = x2 - x1
Slope = y2 - y1 / x2 - x1
from the above points
x1 = 0, y1 = -1, x2 = 3, and y2 = 3
slope = 3 - (-1) / 3 - 0
Slope = 3 + 1 / 3
Slope = 4 / 3
slope is 4/3
The slope intercept equation is y = mx + b
Therefore, y - y1 = m(x - x1)
where m = slope = 4/3, x1 = 0 and y1 = -1
y - (-1) = 4/3(x - 0)
open the parentheses
y + 1 = 4/3 * x - 4/3 * 0
y + 1 = 4/3x - 0
Make y the subject of the formula
y = 4/3x - 1
y = 4/3x - 1
The answer is y = 4/3x - 1