Question

Which of the following is an equation of line l in the xy plane above

A) 1 = 1
B) y = 1
C) y = x
D) v = x + 1

Answer 1

Option (D)

Explanation:

Let the equation of the line be,

y = mx + b

where m = slope of the line

b = y-intercept

Slope of the line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

m =
`(y_2-y_1)/(x_2-x_1)`

Since, line 'l' is passing through two points (0, 1) and (-1, 0),

Therefore, slope 'm' =
`(1-0)/(0+1)` = 1

y-intercept 'b' = 1

Therefore, equation of the line will be,

y = 1(x) + 1

y = x + 1

Option (D). will be the answer.