Which of the following equations describe the line (-6, 2) (-1, -4)? (Graph below)

A. y - 4 = -5/6(x - 1)
B. y - 2 = -5/6(x + 6)
C. y + 4 = -6/5(x + 1)
D. y + 4 = -5/6(x + 1)
E. y - 2 = -6/5(x + 6)
F. y - 6 = -6/5(x + 2)

Respuesta :

I notice that all the choices are written in Point-Slope Formula. This is a key factor in answering your question. 

So usually we solve for slope, plug into point-slope form, then solve for slope intercept.

We only have to do the first 2 steps: 

Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{-4-2}{-1-(-6)} = \frac{-6}{5} [/tex]
Slope: [tex]- \frac{6}{5} [/tex]
Point-slope formula: [tex]y - y1 = m(x-x1) [/tex] where m is equivalent to slope. 
Plug in values: [tex]y -2 = -\frac{6}{5}(x + 6) [/tex] 


We can also rewrite the equation like this using the other coordinates. 

Plug in value: [tex]y + 4 = - \frac{6}{5}(x + 1)[/tex]
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