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