Respuesta :

anonymous767

Answer:

The slope is 2.

Step-by-step explanation:

I don’t have an explanation but I had this same question yesterday and the answer was 2

To solve the problem we must know the equation of Line.

What is the equation of a line?

The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m  is the slope of the line, and

c is constant.

Given to us

  • Line, y =2x
  • Point = (-1, -2)

We the part of the line drawn between the origin and (-1, -2),

  1. Point 1 = (0, 0),
  2. Point 2 = (-1, -2),

The slope of the line

We know the formula for the slope of a line,

y =  mx + c

Comparing our equation,

y = 2x

We get that the slope of the line is 2.

Distance between points 1 and 2,

[tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

substitute the value we get,

[tex]d = \sqrt{(-2-0)^2 +(-1-0)^2}\\\\d = \sqrt{(-2)^2 +(-1)^2}\\\\d = \sqrt{4+1}\\\\d = \sqrt{5}[/tex]

Hence, the distance between the two points is √5.

Learn more about equation of Line:

https://brainly.com/question/2564656

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