Respuesta :

sabellaabdullah2000

Step-by-step 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.

devishri1977

Answer:

Step-by-step explanation:

Equation of line in slope- y intercept form:

First find the slope.

[tex]\boxed{Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

          [tex]\sf = \dfrac{-4-[-5]}{-4-[-6]}\\\\=\dfrac{-4+5}{-4+6}\\\\=\dfrac{1}{2}[/tex]

Equation:

[tex]y =\dfrac{1}{2}x+b[/tex]

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

(-6,-5)

[tex]\sf -5=\dfrac{1}{2}*(-6) + b\\\\-5 = -3+b\\\\-5+3=b\\\\-2 = b[/tex]

Equation:

      [tex]y = \dfrac{1}{2}x - 2[/tex]

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