Question

Which equation represents a line that passes through (5,1) and has a slope of 1/2?

Answer 1

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 = $\frac{1}{2}$ and (a, b) = (5, 1), hence

y - 1 = $\frac{1}{2}$(x - 5) → C

Answer 2

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

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

$(y-y0) = m (x-x0)$

We have the point:

$(x0, y0) = (5,1)$

Substituting:

$(y-1) = \frac {1} {2} (x-5)$

Answer:

$(y-1) = \frac {1} {2} (x-5)$

Option C