Respuesta :

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{1}{2}[/tex] and (a, b) = (5, 1), hence

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

carlosego

For this case we must find the equation of the line that passes through point (5,1) and has slope [tex]m = \frac {1} {2}[/tex]

By definition, the equation of the point-slope line is given by:

[tex](y-y0) = m (x-x0)[/tex]

We have the point:

[tex](x0, y0) = (5,1)[/tex]

Substituting:

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

Answer:

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

Option C

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