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Write an equation of a linear function with slope −2 that passes through the point (4,−5).

2 Answers

3 votes

Final answer:

The equation of the linear function with a slope of -2 that passes through the point (4, -5) is 2x + y = 3.

Step-by-step explanation:

  • To write the equation of a linear function with a slope of -2 that passes through the point (4, -5), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).
  • Here, (x1, y1) = (4, -5) and m = -2. Substituting these values into the equation, we have y - (-5) = -2(x - 4).
  • Simplifying this equation gives y + 5 = -2x + 8.
  • To get the equation in the standard form, we rearrange the terms to obtain 2x + y = 3.
User Omry Yadan
by
4.3k points
9 votes

Answer:

y=-2x+3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-2(x-4)

y+5=-2x+8

y=-2x+8-5

y=-2x+3

User Toparvion
by
3.7k points