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Which point-slope equation represents a line that passes through (3, –2) with a slope of -4/5?
y – 3 = –4/5 (x + 2)
y – 2 = 4/5 (x – 3)
y + 2 = –4/5 (x – 3)
y + 3 = 4/5 (x + 2)

Respuesta :

royalranger
The third option: 

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

Answer:

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

C is correct equation.

Step-by-step explanation:

We are given a point and slope of a line. Using point slope form formula to find the equation of line and match the correct option.

Formula:

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

where,

[tex]slope (m)=-\frac{4}{5}[/tex]

[tex]Point:(x_1,y_1)\rightarrow (3,-2)[/tex]

Equation of line:

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

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

Thus, C is correct equation of given information.

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