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
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Answer:
Option (D)
Step-by-step 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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, line 'l' is passing through two points (0, 1) and (-1, 0),
Therefore, slope 'm' = [tex]\frac{1-0}{0+1}[/tex] = 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.