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Almost all linear equations are functions but not all straight lines are a graph of a function.A linear function with its y-intercept as zero passes through the origin.
step-by-step explanation:
1. Linear means a graph that makes a straight line where as a function represents all set of values in (x,y) system on a graph where a single x point has a corresponding y point value.
A function can be linear to form a straight line or a curve in the case of nonlinear functions.
The similarity is observed where both the straight line and the function assume the shape of a straight line. In this case, they are both linear. However, a function can be a curve and not a straight line, thus the difference.
3. The origin (0,0) and the y-intercept can be found in a table of values for a certain function and appear on the graph and the equation of a function. For example in the function y=4x, a table of value of x and y can be;
x y
-1 -4
0 0
1 4
2 8
Here you notice when x=0, y=0, this tells you that the y-intercept is 0. From the slope intercept form of a graph, y=mx+c , c is the y-intercept, and for our case, y=4x, the value of c=0 to mean the function passes through the origin (0,0). This is observed in the table where x=0, y=0, on the attached graph where the line passes through the origin and in the equation y=4x where the value of c=0
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Linear graphs :brainly.com/question/11954757
Keywords : straight line, function, origin, y-intercept, table, equation , graph
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