As per linear equation, the required equation of the given graph is y = x.
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Here, the graph is a straight line.
Therefore, the equation of the given graph must be a straight line.
Again, the graph passes through points (30, 30) and (60, 60).
Therefore, the slope(m) of the given straight line is
[tex]= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\= \frac{60-30}{60-30}\\ = \frac{30}{30}\\ = 1[/tex]
The graph of the straight line passes through the point (30, 30).
Putting this value in the standard equation(y = mx + c), we get:
30 = (1)(30) + c
⇒ c = 0
Therefore, the y-intercept of the straight line is 0.
Now, the required equation of the straight line is
y = mx + c
⇒ y = (1)x + 0
⇒ y = x
Learn more about a linear equation here: brainly.com/question/11897796
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