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which equation represents the graph of the linear function?

a.
y = −3x + 1

b.
y = −3x − 1

c.
y = 3x + 1

d.
y = 3x − 1

First, we find the y-intercept, which in this case is -1, because that's where the line crosses the y-axis.

y = mx + b

Where 'm' is the slope and 'b' is the y-intercept, therefore -1 replaces 'b':

y = mx - 1

Now let's take any two points on the line and find the slope.

m = y2-y1/x2-x1

(0, -1) and (1, 2)

m = (2 + 1)/(1 - 0)

m = 3/1

m = 3

So the slope is 3, plug this in the equation also:

y = 3x - 1