brgonzalez0704 brgonzalez0704
  • 12-10-2020
  • Mathematics
contestada

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

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 class=

Respuesta :

eudora eudora
  • 17-10-2020

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.

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