Question

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

Answer 1

C

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 =
`(1)/(2)` and (a, b) = (5, 1), hence

y - 1 =
`(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