contestada

a line passes through (-2, 5) and the slope 1/3
what is an equation of the line in point slope form?
a) y+2= 1/3 (x-5)
b) y+5= 1/3 (x-2)
c) y-5= 1/3 (x+5)
d) y-2= 3 (x+5)​

Respuesta :

Answer:

[tex]y - 5 = \frac{1}{3}(x+2)[/tex]

Step-by-step explanation:

Point-slope form: y- y1 = m(x - x1)

Given:

Slope(m) = [tex]\frac{1}{3}[/tex]

Point(x1, y1): (-2, 5)

To write the equation in point-slope form, input the given values of the point and slope into the equation format:

y - y1 = m(x - x1)

[tex]y - 5 = \frac{1}{3} (x-(-2))[/tex]

[tex]y - 5 = \frac{1}{3} (x+2)[/tex]

The equation in point slope form is: [tex]y - 5 = \frac{1}{3} (x+2)[/tex]

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