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a) Write an equation of a line in point slope form given the slope -2/3 and the point (-3,2). b) Write an equation in slope intercept form through the points (3,-3) and (2,0) c) write an equation based on this model. Gas cost $4.00 per gallon. If someone paid a startup fee of 5.00, write an equation in slope intercept form based on this model in y = mx+b

Respuesta :

Answer:

[tex]y-2\text{ = -}\frac{2}{3}(x+3)[/tex]

Explanation:

Here, we want to write the equation of a line in point-slope form

Mathematically, we have that as:

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

where m, which is the slope is -2/3 and (x1,y1) which is the point is (-3,2)

Substituting the values, we have it that:

[tex]y-2\text{ = -}\frac{2}{3}(x+3)[/tex]

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