Question

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

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

Answer 1

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

Answer 2

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
`(1)/(5)`.

Solution 2 :-

Slope of line passing through two point is given by
`(y_2-y_1)/(x_2-x_1)`

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

∴ Slope of line with given points =
`(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 =
`(y_2-y_1)/(x_2-x_1)`

2 =
`(y-2)/(3-1)`

2 =
`(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 .