## The problem

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Find an equation for the line with slope -2 that passes through the point (4,-1)

Write the answer in the form y=mx+b

## Answer provided by our tutors

The slope is given:

m = -2

y=-2x+b

We need to find 'b'.

Since the passes through the point (4,-1) we can plug in x = 4 and y = -1 into 'y=-2x+b' and solve for 'b':

-1 = -2*4 + b

-8 + b = -1

b = -1+8

b = 7

The answer is:

y = -2x + 7

Indeed, if we graph 'y = -2x + 7' we will see