Respuesta :

Answer:The solution is in the attached file

Step-by-step explanation:

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Answer:

[tex]y = -1x + 4[/tex]

Step-by-step explanation:

Hello!

The equation of a line is written in slope-intercept form.

Slope - Intercept Form: [tex]y = mx + b[/tex]

  • m = slope
  • b = y-intercept

Slope

The slope of the line is the rate of change, or how much the y-values change as x-values change.

Slope is calculated by the Rise of the graph divided by the Run of the graph. Rise is how much the graph goes up or down between 2 points, while Run is how much the graph goes left or right between 2 points.

Points: (0,4) and (4,0)

Calculate:

  • [tex]Rise \div Run[/tex]
  • [tex]-4\div 4[/tex]
  • [tex]-1[/tex]

The slope is -1.

Y-intercept

The y-intercept is where the graph intersects the y-axis (x = 0).

The graph intersects it at (0,4), so the y-intercept is 4.

Equation

We can plug in the values for slope and y-intercept to find the equation.

Equation: [tex]y = -1x + 4[/tex]

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