juanitasharlotte juanitasharlotte
  • 15-01-2021
  • Mathematics
contestada


Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 19-01-2021

Answer:

         y = ⁷/₂x - 52

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

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