Respuesta :

Answer:

First, we need to use slope formula* to find the slope.

[tex]m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2[/tex]

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

  • [tex]m = -2[/tex]

I'm going to use this point:

  • [tex]x = 3[/tex]
  • [tex]y = -2[/tex]

Here is how to find b:

[tex]-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b[/tex]

Finally, we put all of it together and we have our equation.

[tex]y = -2x + b[/tex]

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

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