Question

Y=mx+b (-6,-5) and (-4,-4)​

Answer 1

Explanation:

We will put this in y=mx +b form so first calculate the slope

m= (-4)-(-5)/(-4)-(-6)

m= 1/2. So y= x/2. +b

Now just substitute the x and y values of either given point to calculate b

I will use (-4,-4)

-4= (1/2)(-4) +b

-4= -2 +b

b=-2

So equation is y= x/2 -2

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I search it.

Answer 2

Explanation:

Equation of line in slope- y intercept form:

First find the slope.

`\boxed{Slope= (y_2-y_1)/(x_2-x_1)}`

`\sf = (-4-[-5])/(-4-[-6])\\\\=(-4+5)/(-4+6)\\\\=(1)/(2)`

Equation:

`y =(1)/(2)x+b`

Choose any point and substitute the x and y value in the above equation.

(-6,-5)

`\sf -5=(1)/(2)*(-6) + b\\\\-5 = -3+b\\\\-5+3=b\\\\-2 = b`

Equation:

`y = (1)/(2)x - 2`