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Amy begin with $22 in her bank account and spent two dollars each day the lawn models the amount of money in her bank account she incorrectly wrote an equation for the line and slope intercept form as y= - 2X +11 what is the correct equation for the line in sloped intercept form

Amy begin with 22 in her bank account and spent two dollars each day the lawn models the amount of money in her bank account she incorrectly wrote an equation f class=

Respuesta :

MrRoyal

Answer:

[tex]m =-2[/tex] -- The slope

[tex]y = 22-2x[/tex]

Step-by-step explanation:

Required

Calculate the graph equation and the slope

Pick any two points on the graph, we have:

[tex](x_1,y_1) = (0,22)[/tex]

[tex](x_2,y_2) = (11,0)[/tex]

To calculate the equation, we first calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0-22}{11-0}[/tex]

[tex]m = \frac{-22}{11}[/tex]

[tex]m =-2[/tex]

The equation is:

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

So, we have:

[tex]y - 22 = -2(x - 0)[/tex]

[tex]y - 22 = -2(x)[/tex]

[tex]y - 22 = -2x[/tex]

Make y the subject

[tex]y = 22-2x[/tex]

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