Answer:
[tex]y=\frac{4}{3}x+4[/tex]
Step-by-step explanation:
In order to identify the equation of line from the given graph, we need to find the slope and the y-intercept.
Slope of a line is the ratio of rise to run or change in [tex]y[/tex] over change in [tex]x[/tex].
The y-intercept is a point on the line for which the [tex]x[/tex] value is 0. In other words, it is on the y-axis.
Here, from the graph,
y-intercept is at point (0,4). So, y-intercept is the [tex]y[/tex] value which is,[tex]b= 4[/tex].
Also, slope is given as, [tex]m=\frac{\Delta y}{\Delta x}=\frac{4}{3}[/tex]
Therefore, the equation of the line is:
[tex]y=mx+b\\y=\frac{4}{3}x+4[/tex]
