Question

Which equation represents a line that passes through (2, –1/2) and has a slope of 3?

Answer 1

Hello,

y+1/2=3(x-2)
or y=3x-13/2

Answer 2

Explanation:

Let the equation of the line is y = mx + c

where m = slope = 3

and c = y-intercept

Now the equation of this line will become

y = 3x + c

Since this line passes through (2,
`(-1)/(2)`)

so
`(-1)/(2)` = 6 + c

c =
`(-1)/(2)` - 6

=
`(-13)/(2)`

So the line will be y = 3x +
`(13)/(2)`