`y=-x`

m=______

b=_______

`y=-x`

m=______

b=_______

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The equation of a line is Y = m*x+b

Y represents the output value given a certain slope m, intercept b, and the domain value x.

m in the equation is the rise (vertical) divided by run (horizontal) --> rise/run = m

b in the equation is the intercept, a point which is always fixed on the Y-axis.

now compare: Y = -1*x+0

to: Y = m*x+b

the m value can be seen directly as -1, and b value can also be seen directly as 0.

here is the graphical representation of Y = -x

The equation is y= mx + b, so working backwards:

y= -x

where m is the coefficient of x, we can rewrite:

-x= (-1)x

so:

m= -1

and b is missing! So we can write in a non-value for b:

b= 0

we are left with:

y= mx + b

y= (-1)x + 0

y= -x

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