Respuesta :

altavistard

Answer:

y = (-6/7)x + 11/7

Step-by-step explanation:

Going from  (-4, 5)  to  (3,-1), x increases by 7 and y decreases by 6.  Hence, the slope, m, of this line is m = rise / run = -6/7.

Making use of the slope-intercept form of the equation of a str. line, we have:

y = mx + b  →   5 = (-6/7)(-4) + b, or

                        5 = 24/7 + b.  Thus, b = 11/7, and

y = (-6/7)x + 11/7

                       

PoeticAesthetics

The formula to find slope when you know two points is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-1\\y_{1} =5\\x_{2} =3\\x_{1} =-4[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-1 - 5}{3 - (-4)}[/tex]

[tex]\frac{-6}{7}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

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