jaycieballah
jaycieballah jaycieballah
  • 15-10-2022
  • Mathematics
contestada

What is the equation in slope-intercept form of a line that passes through the point (−2, −6) and has a slope of 12?

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devishri1977
devishri1977 devishri1977
  • 15-10-2022

Answer:

y = 12x + 18

Step-by-step explanation:

Equation of line in slope-intercept form: y =mx +b

Here, m is the slope and b is the y-intercept.

  m = 12

Substitute m =12 in the above equation,

        y = 12x + b

This line passes through (-2,-6). So, plugin the point in the above equation.

       -6 = 12*(-2) + b

      -6 = -24 + b

-6 + 24 = b

         b = 18

Equation of the line:

         [tex]\sf \boxed{\bf y = 12x + 18}[/tex]

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