Respuesta :

Answer: The point slope solution is y+4 = -(1/2)(x-4) which is y + 4 = -(.5)x + 2 or y = -(.5)x -2.

Step-by-step explanation:

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An equation of the line with the given slope and points is [tex]y=\frac{-1}{4}x+6[/tex]

Given the following data:

  • Slope = [tex]\frac{-1}{4}[/tex]
  • Points on x-axis = 4.
  • Points on y-axis = 5.

To write an equation of the line with the given slope and points:

How to write an equation of a line.

Mathematically, the equation of a line is given by this formula:

[tex]y-y_1 =m(x-x_1)[/tex]

Where:

  • m is the slope.
  • y is the point on the horizontal axis.
  • x is the point on the vertical axis.

Substituting the given parameters into the formula, we have;

[tex]y-5 =\frac{-1}{4} (x-4)\\\\y-5 =\frac{-1}{4}x+1\\\\y=\frac{-1}{4}x+1+5\\\\y=\frac{-1}{4}x+6[/tex]

Read more on slope here: https://brainly.com/question/26044936

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