the linear equation in the graph is y = (2/3)*x + 4/3.
How to write the linear equation?
The general linear equation is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
Here we can see that the points (1, 2) and (4, 4), then the slope of this line will be:
a = (4 - 2)/(4 - 1) = 2/3
y = (2/3)*x + b
To find the value of b, we can replace the values of the point (1, 2), then we will get:
2 = (2/3)*1 + b
2 - 2/3 = b
4/3 = b
The line is:
y = (2/3)*x + 4/3