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Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answer :

Answer:

[tex](y+2)=\frac{4}{5}(x-3)[/tex] is the point slope form

Step-by-step explanation:

Slope of the line is 4/5 and given point is (3,-2)

We apply point slope formula to find the equation of the line

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

where m is the slope and (x1,y1) is the given point

[tex](y+2)=\frac{4}{5}(x-3)[/tex]

Multiply the fraction inside the parenthesis

[tex]y+2=\frac{4}{5}x-\frac{12}{5}[/tex]

Now subtract 2 from both sides

[tex]y=\frac{4}{5}x-\frac{22}{5}[/tex]

Answer: y+2=-4/5(x-3)

Step-by-step explanation:got it right on edgy

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