Answer:
m = 1, b = 0
Explanation:
You want to know the values of m and b and where to find them on a graph of y = x.
Slope-intercept form
The variables m and b are used for the slope and y-intercept, respectively, when the slope-intercept equation for a line is written generically as ...
y = mx + b . . . . . . . . equation for line with slope m and y-intercept b
Y = X
The equation for the line y = x can be written in the slope-intercept form by recognizing the identity elements involved:
y = x
y = 1x + 0 . . . . . . . . identity elements shown
Comparing this to ...
y = mx + b
we see that m = 1 and b = 0.
Graph
The attachment shows where these are found on the graph.
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Additional comment
You may recall that 1 is the multiplicative identity element. Anything multiplied by 1 is itself.
Zero is the additive identity element. Anything added to zero is itself.