The function can be written in y = mx + b form. The given function represents a linear function.
<h3>How do we make graph of a function?</h3>
Suppose the considered function whose graph is to be made is f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.
They are together plotted on the point (x,y) = (x, f(x))
This is why we usually write the functions as: y = f(x)
The given function represents a linear function
y = mx + b
here, "m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
You can find the slope by using the slope formula and plugging in two points, or you use this:
slope = rise / run
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
from the graph, from each point, you go up 1 unit, and to the right 1 unit. So the slope is 1/1 or 1.
y = mx + b
m = 1 and it represents the slope of the line
b = 2 and it represents the y-intercept of the line
y = 1x + 2 or y = x + 2
Learn more about graphing functions here:
brainly.com/question/14455421
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