The linear function y=mx+b actually represents a graph of a straight line that has a point of intersection with the vertical Y axis.
m represents the slope. When m is positive, the slope is positive: the line goes upwards. When m is negative, the slope is negative: the line goes downwards. When m=0, the slope is zero: the line is parallel to the X axis.
b represents the point where the line intersects the Y axis. If b=0, then the line will pass through the origin of the coordinates, that is, the point (0,0)
If we are given a point, we can place it into the equation of a line to see if the equation holds true. If we are given just one part of the point: X or Y, we will put the given value into the equation correctly and find the second part of the point.
How do we graph the function?
If we want a precise drawing, we'll build a table of values with 3 or fewer values. We replace X each time and obtain the value of Y. We consider the slope of the function to be increasing, decreasing, or equal to 0, and then we graph it.
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