Question

Question 4(Multiple Choice Worth 1 points) (02.04 MC) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

Answer 1

y =
`-(x)/(4)` + 1
`(3)/(4)`

Explanation:

The line passes through points (-1, 2) and (3, 1)

Slope of the line = change in y ÷ change in x

i.e slope =
`(1 - 2)/(3 - -1)` =
`-(1)/(4)`

Taking another point (x, y) on the line;

Slope is
`(y - 2)/(x - -1)` = -
`(1)/(4)`

y - 2 =
`-(x)/(4)` -
`(1)/(4)`

y =
`-(x)/(4)` + 1
`(3)/(4)` (the equation of the line)