Respuesta :

Answer:

y=-3x+7

Step-by-step explanation:

y=mx+b is the formula you are going to end up once completed.

This, by given two points:

(4,-5) (3,-2)

[tex]\frac{-2-5}{3-4}[/tex] = Point-Slope Intercept Form

[tex]\frac{3}{-1}[/tex] = After subtracting both from above

-3 = is your slope, decreasing.

Substitute -3 for y=mx+b

y=-3x+b

Use one of the given points (any) to find what b equals.

(4,-5)

x    y

-5=-3(4)+b

-5= -12+b

7=b

Final Equation:

y=-3x+7

bayosanuade

Answer: y = -3x + 7

Step-by-step explanation:

The formula for calculating equation of line that passes through two points is given by :

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

[tex]x_{1}[/tex] = 4

[tex]x_{2}[/tex] = 3

[tex]y_{1}[/tex] = -5

[tex]y_{2}[/tex] = -2

substituting the values into the equation , we have :

[tex]\frac{y-(-5)}{x-4}[/tex] = [tex]\frac{-2-(-5)}{3-4}[/tex]

[tex]\frac{y+5}{x-4}[/tex]    = [tex]\frac{-2+5}{3-4}[/tex]

[tex]\frac{y+5}{x-4}[/tex]    = [tex]\frac{3}{-1}[/tex]

[tex]\frac{y+5}{x-4}[/tex]    = -3

y + 5 = -3( x - 4 )

y + 5 = -3x + 12

y = -3x + 12 - 5

y = -3x + 7

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