Question

*Please Help* (There are more than 2 answers!)

Which lines in the graph have a slope greater than 1 but less than 2?
A. line 1
B. line 2
C. line 3
D. line 4
E. line 5

Answer 1

It is lines 3 and 4. Line 1 has a slope of 3, line 2 has a slope of 2, and line 5 has a slope of three. So the only lines with a slope between 1 and 2 are lines 3 and 4.

Answer 2

Answer with explanation:

It is given that all lines in the graph given , passes through Origin.

Equation of line passing through origin

y = m x

⇒m = Tan A, where ,A is angle made by line with positive direction of X axis.

If line is Parallel to X axis, it means , Slope = 0,because , Tan 0°=0

As, distance from positive side of X axis increases, the value of Tan A , increases so , if distance of line from positive direction of X axis increases, value of slope increases.

tan 45°=1

So, line which will make angle greater than 45°,with positive direction of X axis and less than 64°,will have slope between 1 and 2.Because,tan 45°=1,and Tan 64°=2.0403

Slope of line passing through two points, (a,b) and (p,q), is given by

`m=(q-b)/(p-a)\\\\ \text Line 1=(6-0)/(2-0)\\\\=3\\\\ \text Line 2=(6-0)/(3-0)\\\\=2\\\\ \text Line 3=(6-0)/(4-0)\\\\=1.5\\\\ \text Line 4=(6-0)/(5-0)\\\\=1.2\\\\ \text Line5=(6-0)/(6-0)\\\\=1`

Line 3 and 4 has slope between 1 and 2.

Option C and D: Line 3 and Line 4