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What is an equation in point-slope form for the line that passes through the points (−3,5) and (2,−3) ? y−3=−58(x+5) y−3=−85(x+5) y−5=85(x+3) y−5=−85(x+3)

Respuesta :

choixongdong
 (−3,5) and (2,−3)
slope = (5+3)/(-3-2) = -8/5

equation
y -5 = -8/5(x + 3)

Answer: The correct option is 4.

Explanation:

The two points are (-3,5) and (2,-3).

The point slope form is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Where [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] is the slope of the line.

It is also written as,

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

Where m is the slope.

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

[tex]y-5=\frac{-8}{2+3} (x+3)[/tex]

[tex]y-5=\frac{-8}{5} (x+3)[/tex]

The slope of the line is [tex]\frac{-8}{5}[/tex].

Therefore, the option 4 is correct.

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