Question

Choose the equation below that representing the line passing through the point (2,-4) with a slope of 1/2

Answer 1

slope-form equation:

`y = mx + c`
we have slope,

`m = (1)/(2)`
and point, x=2 and y= -4

Insert all of these into slope-form equation to find y-intercept, c

`- 4 = (1)/(2) (2) + c \\ - 4 = 1 + c \\ c = - 4 - 1 \\ c = - 5`

thus, the equation is

`y = (1)/(2) x - 5`