Answer:
y= ⅓x +2
Step-by-step explanation:
Since the graph is a linear graph, let's use the slope-intercept form to find its equation.
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.
Thus, y= mx +2.
Let's find the slope of the graph.
First, identify 2 pairs of coordinates from the graph:
(0, 2) and (3, 3)
Next, substitute these coordinates into the slope formula below:
[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
slope
[tex] = \frac{3 - 2}{3 - 0} [/tex]
[tex] = \frac{1}{3} [/tex]
Thus, the equation of the graph is y= ⅓x +2.
