Linear equation is equation in which each term has at max one degree. The function that can represent the given graph is y=2.0769x + 1.5.
<h3>What is linear equation?</h3>
Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on Cartesian plane with axes of those variables, give a straight line.
For the given graph the equation can be written as, y = mx+c, this is because the graph is a line which means the relationship is linear. Therefore, the equation can be written as,
y = mx + c
Now, there are two points that are on the line and the coordinates of this points are,
A = (4, 9.5)
B = (7.25, 16)
Further the slope of the equation is,
m = (16-9.5) / (7.25 - 4) = 2.0769
Since c is the y-intercept of the graph, therefore, the value of c is 1.5.
Thus, the function that can represent the given graph is y=2.0769x + 1.5.
Learn more about Linear equations:
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