Is it more difficult to run up a ramp with a slope of 1/5 or a slope of 5?

  1. What is the slope of a line that passes through the points (2,0) and (5,0)?
  2. A line has a slope of 2. It passes through the points (1,2) and (3,y). What is he value of y?
  3. What is the slope of a line that passes through the points (2,0) and (5,0)?

Verified Answer :

1) slope of 5
2)0
3)6
4)2 and 4 are the same question

Answer:

Solution 1 :-

It is more difficult to run up on slope of 5 because greater slope of a line reflects greater angle it makes with base. That is Surafce with slope 5 is more inclined than slope with \(\frac{1}{5}\).

Solution 2 :-

Slope of line passing through two point is given by \(\frac{y_2-y_1}{x_2-x_1}\)

Given points are ( 2, 0 ) and ( 5, 0 )

∴ Slope of line with given points = \(\frac{0-0}{5-2}\)

                                                      = 0

Slope of line is 0.

Solution 3 :-

Given: Slope of line = 2

           Line passes throught points ( 1, 2 )( 3, y )

Using formula of slope we get,

Slope of line = \(\frac{y_2-y_1}{x_2-x_1}\)

               2   = \(\frac{y-2}{3-1}\)

                2 = \(\frac{y-2}{2}\)

             y - 2 = 2 × 2

            y - 2 = 4

            y = 6

Solution 4 :-

This part is same as 2nd.

So slope of line passing through these points is 0 .